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Finding the Fourth Proportional to 565,521,138.90, 848,281,708.35 and 524,706,470.10

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Solution

The fourth proportional to 565,521,138.90, 848,281,708.35 and 524,706,470.10 is: 787,059,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,521,138.90 : 848,281,708.35 = 524,706,470.10 : x
  2. Step 2: Convert to fraction form
    565,521,138.90/848,281,708.35 = 524,706,470.10/x
  3. Step 3: Cross multiply
    565,521,138.90x = 848,281,708.35 × 524,706,470.10
  4. Step 4: Simplify right side
    565,521,138.90x = 445,098,900,838,726,208
  5. Step 5: Solve for x
    x = 445,098,900,838,726,208/565,521,138.90
  6. Step 6: Final answer
    x = 787,059,705.15

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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.