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Finding the Fourth Proportional to 610,416,197.70, 915,624,296.55 and 586,607,640.90

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Solution

The fourth proportional to 610,416,197.70, 915,624,296.55 and 586,607,640.90 is: 879,911,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,197.70 : 915,624,296.55 = 586,607,640.90 : x
  2. Step 2: Convert to fraction form
    610,416,197.70/915,624,296.55 = 586,607,640.90/x
  3. Step 3: Cross multiply
    610,416,197.70x = 915,624,296.55 × 586,607,640.90
  4. Step 4: Simplify right side
    610,416,197.70x = 537,112,208,549,917,440
  5. Step 5: Solve for x
    x = 537,112,208,549,917,440/610,416,197.70
  6. Step 6: Final answer
    x = 879,911,461.35

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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.