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Finding the Fourth Proportional to 831,965,870.40, 1,148,098,869.72 and 460,679,930.16

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Solution

The fourth proportional to 831,965,870.40, 1,148,098,869.72 and 460,679,930.16 is: 635,730,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,965,870.40 : 1,148,098,869.72 = 460,679,930.16 : x
  2. Step 2: Convert to fraction form
    831,965,870.40/1,148,098,869.72 = 460,679,930.16/x
  3. Step 3: Cross multiply
    831,965,870.40x = 1,148,098,869.72 × 460,679,930.16
  4. Step 4: Simplify right side
    831,965,870.40x = 528,906,107,119,384,576
  5. Step 5: Solve for x
    x = 528,906,107,119,384,576/831,965,870.40
  6. Step 6: Final answer
    x = 635,730,534.07

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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.