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Finding the Fourth Proportional to 553,063,572.16, 829,584,679.16 and 165,149,241.28

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Solution

The fourth proportional to 553,063,572.16, 829,584,679.16 and 165,149,241.28 is: 247,720,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,063,572.16 : 829,584,679.16 = 165,149,241.28 : x
  2. Step 2: Convert to fraction form
    553,063,572.16/829,584,679.16 = 165,149,241.28/x
  3. Step 3: Cross multiply
    553,063,572.16x = 829,584,679.16 × 165,149,241.28
  4. Step 4: Simplify right side
    553,063,572.16x = 137,005,280,340,786,224
  5. Step 5: Solve for x
    x = 137,005,280,340,786,224/553,063,572.16
  6. Step 6: Final answer
    x = 247,720,673.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.