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Finding the Fourth Proportional to 497,664,410.90, 746,496,616.35 and 433,963,418.90

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Solution

The fourth proportional to 497,664,410.90, 746,496,616.35 and 433,963,418.90 is: 650,945,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,410.90 : 746,496,616.35 = 433,963,418.90 : x
  2. Step 2: Convert to fraction form
    497,664,410.90/746,496,616.35 = 433,963,418.90/x
  3. Step 3: Cross multiply
    497,664,410.90x = 746,496,616.35 × 433,963,418.90
  4. Step 4: Simplify right side
    497,664,410.90x = 323,952,223,828,527,616
  5. Step 5: Solve for x
    x = 323,952,223,828,527,616/497,664,410.90
  6. Step 6: Final answer
    x = 650,945,128.35

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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.