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Finding the Fourth Proportional to 977,662,922.91, 1,349,200,403.91 and 531,652,371.60

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Solution

The fourth proportional to 977,662,922.91, 1,349,200,403.91 and 531,652,371.60 is: 733,694,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,662,922.91 : 1,349,200,403.91 = 531,652,371.60 : x
  2. Step 2: Convert to fraction form
    977,662,922.91/1,349,200,403.91 = 531,652,371.60/x
  3. Step 3: Cross multiply
    977,662,922.91x = 1,349,200,403.91 × 531,652,371.60
  4. Step 4: Simplify right side
    977,662,922.91x = 717,305,594,502,429,440
  5. Step 5: Solve for x
    x = 717,305,594,502,429,440/977,662,922.91
  6. Step 6: Final answer
    x = 733,694,177.92

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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.