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Finding the Fourth Proportional to 283,921,241.80, 425,881,862.70 and 102,144,800.20

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Solution

The fourth proportional to 283,921,241.80, 425,881,862.70 and 102,144,800.20 is: 153,217,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,921,241.80 : 425,881,862.70 = 102,144,800.20 : x
  2. Step 2: Convert to fraction form
    283,921,241.80/425,881,862.70 = 102,144,800.20/x
  3. Step 3: Cross multiply
    283,921,241.80x = 425,881,862.70 × 102,144,800.20
  4. Step 4: Simplify right side
    283,921,241.80x = 43,501,617,774,295,336
  5. Step 5: Solve for x
    x = 43,501,617,774,295,336/283,921,241.80
  6. Step 6: Final answer
    x = 153,217,200.30

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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.