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Finding the Fourth Proportional to 610,416,158.70, 915,624,238.05 and 586,607,601.90

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Solution

The fourth proportional to 610,416,158.70, 915,624,238.05 and 586,607,601.90 is: 879,911,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,158.70 : 915,624,238.05 = 586,607,601.90 : x
  2. Step 2: Convert to fraction form
    610,416,158.70/915,624,238.05 = 586,607,601.90/x
  3. Step 3: Cross multiply
    610,416,158.70x = 915,624,238.05 × 586,607,601.90
  4. Step 4: Simplify right side
    610,416,158.70x = 537,112,138,524,025,152
  5. Step 5: Solve for x
    x = 537,112,138,524,025,152/610,416,158.70
  6. Step 6: Final answer
    x = 879,911,402.85

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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.