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Finding the Fourth Proportional to 512,209,915.50, 706,945,442.40 and 292,193,341.50

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Solution

The fourth proportional to 512,209,915.50, 706,945,442.40 and 292,193,341.50 is: 403,281,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,209,915.50 : 706,945,442.40 = 292,193,341.50 : x
  2. Step 2: Convert to fraction form
    512,209,915.50/706,945,442.40 = 292,193,341.50/x
  3. Step 3: Cross multiply
    512,209,915.50x = 706,945,442.40 × 292,193,341.50
  4. Step 4: Simplify right side
    512,209,915.50x = 206,564,751,073,051,776
  5. Step 5: Solve for x
    x = 206,564,751,073,051,776/512,209,915.50
  6. Step 6: Final answer
    x = 403,281,437.59

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