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Finding the Fourth Proportional to 159,849,347.20, 239,774,020.80 and 159,849,347.20

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Solution

The fourth proportional to 159,849,347.20, 239,774,020.80 and 159,849,347.20 is: 239,774,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,849,347.20 : 239,774,020.80 = 159,849,347.20 : x
  2. Step 2: Convert to fraction form
    159,849,347.20/239,774,020.80 = 159,849,347.20/x
  3. Step 3: Cross multiply
    159,849,347.20x = 239,774,020.80 × 159,849,347.20
  4. Step 4: Simplify right side
    159,849,347.20x = 38,327,720,700,399,224
  5. Step 5: Solve for x
    x = 38,327,720,700,399,224/159,849,347.20
  6. Step 6: Final answer
    x = 239,774,020.80

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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.