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Finding the Fourth Proportional to 8,584,711,065.10, 12,877,066,597.65 and 8,584,711,065.10

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Solution

The fourth proportional to 8,584,711,065.10, 12,877,066,597.65 and 8,584,711,065.10 is: 12,877,066,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,711,065.10 : 12,877,066,597.65 = 8,584,711,065.10 : x
  2. Step 2: Convert to fraction form
    8,584,711,065.10/12,877,066,597.65 = 8,584,711,065.10/x
  3. Step 3: Cross multiply
    8,584,711,065.10x = 12,877,066,597.65 × 8,584,711,065.10
  4. Step 4: Simplify right side
    8,584,711,065.10x = 110,545,896,106,875,568,128
  5. Step 5: Solve for x
    x = 110,545,896,106,875,568,128/8,584,711,065.10
  6. Step 6: Final answer
    x = 12,877,066,597.65

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Half scale
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Double scale
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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.