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Finding the Fourth Proportional to 290,320,427.80, 435,480,641.70 and 288,304,888.60

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Solution

The fourth proportional to 290,320,427.80, 435,480,641.70 and 288,304,888.60 is: 432,457,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,320,427.80 : 435,480,641.70 = 288,304,888.60 : x
  2. Step 2: Convert to fraction form
    290,320,427.80/435,480,641.70 = 288,304,888.60/x
  3. Step 3: Cross multiply
    290,320,427.80x = 435,480,641.70 × 288,304,888.60
  4. Step 4: Simplify right side
    290,320,427.80x = 125,551,197,892,775,024
  5. Step 5: Solve for x
    x = 125,551,197,892,775,024/290,320,427.80
  6. Step 6: Final answer
    x = 432,457,332.90

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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.