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Finding the Fourth Proportional to 1,310,649,097.80, 1,965,973,646.70 and 341,300,713.80

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Solution

The fourth proportional to 1,310,649,097.80, 1,965,973,646.70 and 341,300,713.80 is: 511,951,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,649,097.80 : 1,965,973,646.70 = 341,300,713.80 : x
  2. Step 2: Convert to fraction form
    1,310,649,097.80/1,965,973,646.70 = 341,300,713.80/x
  3. Step 3: Cross multiply
    1,310,649,097.80x = 1,965,973,646.70 × 341,300,713.80
  4. Step 4: Simplify right side
    1,310,649,097.80x = 670,988,208,930,699,008
  5. Step 5: Solve for x
    x = 670,988,208,930,699,008/1,310,649,097.80
  6. Step 6: Final answer
    x = 511,951,070.70

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Half scale
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Double scale
Find fourth proportional to 1,310,649,098.80, 1,965,973,648.20 and 341,300,714.80
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.