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Finding the Fourth Proportional to 614,972,354.88, 847,892,030.61 and 513,276,026.25

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Solution

The fourth proportional to 614,972,354.88, 847,892,030.61 and 513,276,026.25 is: 707,678,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,972,354.88 : 847,892,030.61 = 513,276,026.25 : x
  2. Step 2: Convert to fraction form
    614,972,354.88/847,892,030.61 = 513,276,026.25/x
  3. Step 3: Cross multiply
    614,972,354.88x = 847,892,030.61 × 513,276,026.25
  4. Step 4: Simplify right side
    614,972,354.88x = 435,202,652,160,544,192
  5. Step 5: Solve for x
    x = 435,202,652,160,544,192/614,972,354.88
  6. Step 6: Final answer
    x = 707,678,400.02

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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.