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Finding the Fourth Proportional to 417,312,753,043.40, 625,969,129,565.10 and 417,312,753,043.40

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Solution

The fourth proportional to 417,312,753,043.40, 625,969,129,565.10 and 417,312,753,043.40 is: 625,969,129,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,312,753,043.40 : 625,969,129,565.10 = 417,312,753,043.40 : x
  2. Step 2: Convert to fraction form
    417,312,753,043.40/625,969,129,565.10 = 417,312,753,043.40/x
  3. Step 3: Cross multiply
    417,312,753,043.40x = 625,969,129,565.10 × 417,312,753,043.40
  4. Step 4: Simplify right side
    417,312,753,043.40x = 261,224,900,778,992,638,885,888
  5. Step 5: Solve for x
    x = 261,224,900,778,992,638,885,888/417,312,753,043.40
  6. Step 6: Final answer
    x = 625,969,129,565.10

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