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Finding the Fourth Proportional to 993,446,917.20, 1,370,894,973.96 and 547,385,318.40

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Solution

The fourth proportional to 993,446,917.20, 1,370,894,973.96 and 547,385,318.40 is: 755,357,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,446,917.20 : 1,370,894,973.96 = 547,385,318.40 : x
  2. Step 2: Convert to fraction form
    993,446,917.20/1,370,894,973.96 = 547,385,318.40/x
  3. Step 3: Cross multiply
    993,446,917.20x = 1,370,894,973.96 × 547,385,318.40
  4. Step 4: Simplify right side
    993,446,917.20x = 750,407,781,814,054,272
  5. Step 5: Solve for x
    x = 750,407,781,814,054,272/993,446,917.20
  6. Step 6: Final answer
    x = 755,357,703.39

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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.