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Finding the Fourth Proportional to 458,896,166.40, 642,932,390.40 and 458,896,166.40

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Solution

The fourth proportional to 458,896,166.40, 642,932,390.40 and 458,896,166.40 is: 642,932,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,896,166.40 : 642,932,390.40 = 458,896,166.40 : x
  2. Step 2: Convert to fraction form
    458,896,166.40/642,932,390.40 = 458,896,166.40/x
  3. Step 3: Cross multiply
    458,896,166.40x = 642,932,390.40 × 458,896,166.40
  4. Step 4: Simplify right side
    458,896,166.40x = 295,039,209,208,948,160
  5. Step 5: Solve for x
    x = 295,039,209,208,948,160/458,896,166.40
  6. Step 6: Final answer
    x = 642,932,390.40

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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.