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Finding the Fourth Proportional to 282,492,286.40, 424,009,034.40 and 146,275,428.80

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Solution

The fourth proportional to 282,492,286.40, 424,009,034.40 and 146,275,428.80 is: 219,553,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,492,286.40 : 424,009,034.40 = 146,275,428.80 : x
  2. Step 2: Convert to fraction form
    282,492,286.40/424,009,034.40 = 146,275,428.80/x
  3. Step 3: Cross multiply
    282,492,286.40x = 424,009,034.40 × 146,275,428.80
  4. Step 4: Simplify right side
    282,492,286.40x = 62,022,103,321,933,952
  5. Step 5: Solve for x
    x = 62,022,103,321,933,952/282,492,286.40
  6. Step 6: Final answer
    x = 219,553,263.25

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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.