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Finding the Fourth Proportional to 280,404,714.30, 420,607,071.45 and 159,472,362.30

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Solution

The fourth proportional to 280,404,714.30, 420,607,071.45 and 159,472,362.30 is: 239,208,543.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,404,714.30 : 420,607,071.45 = 159,472,362.30 : x
  2. Step 2: Convert to fraction form
    280,404,714.30/420,607,071.45 = 159,472,362.30/x
  3. Step 3: Cross multiply
    280,404,714.30x = 420,607,071.45 × 159,472,362.30
  4. Step 4: Simplify right side
    280,404,714.30x = 67,075,203,284,216,392
  5. Step 5: Solve for x
    x = 67,075,203,284,216,392/280,404,714.30
  6. Step 6: Final answer
    x = 239,208,543.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.