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Finding the Fourth Proportional to 534,430,427.90, 801,645,641.85 and 534,430,427.90

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Solution

The fourth proportional to 534,430,427.90, 801,645,641.85 and 534,430,427.90 is: 801,645,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,430,427.90 : 801,645,641.85 = 534,430,427.90 : x
  2. Step 2: Convert to fraction form
    534,430,427.90/801,645,641.85 = 534,430,427.90/x
  3. Step 3: Cross multiply
    534,430,427.90x = 801,645,641.85 × 534,430,427.90
  4. Step 4: Simplify right side
    534,430,427.90x = 428,423,823,398,065,664
  5. Step 5: Solve for x
    x = 428,423,823,398,065,664/534,430,427.90
  6. Step 6: Final answer
    x = 801,645,641.85

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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.