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Finding the Fourth Proportional to 610,791,158.70, 842,866,978.68 and 346,467,477.42

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Solution

The fourth proportional to 610,791,158.70, 842,866,978.68 and 346,467,477.42 is: 478,111,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,791,158.70 : 842,866,978.68 = 346,467,477.42 : x
  2. Step 2: Convert to fraction form
    610,791,158.70/842,866,978.68 = 346,467,477.42/x
  3. Step 3: Cross multiply
    610,791,158.70x = 842,866,978.68 × 346,467,477.42
  4. Step 4: Simplify right side
    610,791,158.70x = 292,025,995,903,876,544
  5. Step 5: Solve for x
    x = 292,025,995,903,876,544/610,791,158.70
  6. Step 6: Final answer
    x = 478,111,039.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.