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Finding the Fourth Proportional to 650,420,645.76, 897,598,463.04 and 368,140,648.32

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Solution

The fourth proportional to 650,420,645.76, 897,598,463.04 and 368,140,648.32 is: 508,044,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,420,645.76 : 897,598,463.04 = 368,140,648.32 : x
  2. Step 2: Convert to fraction form
    650,420,645.76/897,598,463.04 = 368,140,648.32/x
  3. Step 3: Cross multiply
    650,420,645.76x = 897,598,463.04 × 368,140,648.32
  4. Step 4: Simplify right side
    650,420,645.76x = 330,442,480,114,581,120
  5. Step 5: Solve for x
    x = 330,442,480,114,581,120/650,420,645.76
  6. Step 6: Final answer
    x = 508,044,266.84

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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.