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Finding the Fourth Proportional to 289,165,697.60, 399,055,595.64 and 157,012,264.13

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Solution

The fourth proportional to 289,165,697.60, 399,055,595.64 and 157,012,264.13 is: 216,680,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,165,697.60 : 399,055,595.64 = 157,012,264.13 : x
  2. Step 2: Convert to fraction form
    289,165,697.60/399,055,595.64 = 157,012,264.13/x
  3. Step 3: Cross multiply
    289,165,697.60x = 399,055,595.64 × 157,012,264.13
  4. Step 4: Simplify right side
    289,165,697.60x = 62,656,622,585,182,152
  5. Step 5: Solve for x
    x = 62,656,622,585,182,152/289,165,697.60
  6. Step 6: Final answer
    x = 216,680,688.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.