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Finding the Fourth Proportional to 477,949,063.90, 715,648,137.45 and 477,949,063.90

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Solution

The fourth proportional to 477,949,063.90, 715,648,137.45 and 477,949,063.90 is: 715,648,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,949,063.90 : 715,648,137.45 = 477,949,063.90 : x
  2. Step 2: Convert to fraction form
    477,949,063.90/715,648,137.45 = 477,949,063.90/x
  3. Step 3: Cross multiply
    477,949,063.90x = 715,648,137.45 × 477,949,063.90
  4. Step 4: Simplify right side
    477,949,063.90x = 342,043,357,376,006,016
  5. Step 5: Solve for x
    x = 342,043,357,376,006,016/477,949,063.90
  6. Step 6: Final answer
    x = 715,648,137.45

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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.