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Finding the Fourth Proportional to 200,689,699.60, 301,034,549.40 and 149,671,363.60

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Solution

The fourth proportional to 200,689,699.60, 301,034,549.40 and 149,671,363.60 is: 224,507,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,689,699.60 : 301,034,549.40 = 149,671,363.60 : x
  2. Step 2: Convert to fraction form
    200,689,699.60/301,034,549.40 = 149,671,363.60/x
  3. Step 3: Cross multiply
    200,689,699.60x = 301,034,549.40 × 149,671,363.60
  4. Step 4: Simplify right side
    200,689,699.60x = 45,056,251,499,409,560
  5. Step 5: Solve for x
    x = 45,056,251,499,409,560/200,689,699.60
  6. Step 6: Final answer
    x = 224,507,045.40

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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.