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Finding the Fourth Proportional to 458,896,166.90, 642,932,391.10 and 458,896,166.90

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Solution

The fourth proportional to 458,896,166.90, 642,932,391.10 and 458,896,166.90 is: 642,932,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,896,166.90 : 642,932,391.10 = 458,896,166.90 : x
  2. Step 2: Convert to fraction form
    458,896,166.90/642,932,391.10 = 458,896,166.90/x
  3. Step 3: Cross multiply
    458,896,166.90x = 642,932,391.10 × 458,896,166.90
  4. Step 4: Simplify right side
    458,896,166.90x = 295,039,209,851,641,664
  5. Step 5: Solve for x
    x = 295,039,209,851,641,664/458,896,166.90
  6. Step 6: Final answer
    x = 642,932,391.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.