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Finding the Fourth Proportional to 20,406,895,590.80, 30,561,970,445.40 and 20,406,895,590.80

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Solution

The fourth proportional to 20,406,895,590.80, 30,561,970,445.40 and 20,406,895,590.80 is: 30,561,970,445.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406,895,590.80 : 30,561,970,445.40 = 20,406,895,590.80 : x
  2. Step 2: Convert to fraction form
    20,406,895,590.80/30,561,970,445.40 = 20,406,895,590.80/x
  3. Step 3: Cross multiply
    20,406,895,590.80x = 30,561,970,445.40 × 20,406,895,590.80
  4. Step 4: Simplify right side
    20,406,895,590.80x = 623,674,939,928,393,154,560
  5. Step 5: Solve for x
    x = 623,674,939,928,393,154,560/20,406,895,590.80
  6. Step 6: Final answer
    x = 30,561,970,445.40

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Double scale
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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.