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Finding the Fourth Proportional to 272,506,588.60, 408,765,689.34 and 97,641,045.40

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Solution

The fourth proportional to 272,506,588.60, 408,765,689.34 and 97,641,045.40 is: 146,463,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,506,588.60 : 408,765,689.34 = 97,641,045.40 : x
  2. Step 2: Convert to fraction form
    272,506,588.60/408,765,689.34 = 97,641,045.40/x
  3. Step 3: Cross multiply
    272,506,588.60x = 408,765,689.34 × 97,641,045.40
  4. Step 4: Simplify right side
    272,506,588.60x = 39,912,309,230,809,232
  5. Step 5: Solve for x
    x = 39,912,309,230,809,232/272,506,588.60
  6. Step 6: Final answer
    x = 146,463,648.59

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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.