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Finding the Fourth Proportional to 290,320,437.80, 435,480,656.70 and 288,304,898.60

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Solution

The fourth proportional to 290,320,437.80, 435,480,656.70 and 288,304,898.60 is: 432,457,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,320,437.80 : 435,480,656.70 = 288,304,898.60 : x
  2. Step 2: Convert to fraction form
    290,320,437.80/435,480,656.70 = 288,304,898.60/x
  3. Step 3: Cross multiply
    290,320,437.80x = 435,480,656.70 × 288,304,898.60
  4. Step 4: Simplify right side
    290,320,437.80x = 125,551,206,572,154,912
  5. Step 5: Solve for x
    x = 125,551,206,572,154,912/290,320,437.80
  6. Step 6: Final answer
    x = 432,457,347.90

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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.