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Finding the Fourth Proportional to 411,804,585.40, 617,706,382.38 and 105,096,731.08

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Solution

The fourth proportional to 411,804,585.40, 617,706,382.38 and 105,096,731.08 is: 157,644,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804,585.40 : 617,706,382.38 = 105,096,731.08 : x
  2. Step 2: Convert to fraction form
    411,804,585.40/617,706,382.38 = 105,096,731.08/x
  3. Step 3: Cross multiply
    411,804,585.40x = 617,706,382.38 × 105,096,731.08
  4. Step 4: Simplify right side
    411,804,585.40x = 64,918,921,555,390,512
  5. Step 5: Solve for x
    x = 64,918,921,555,390,512/411,804,585.40
  6. Step 6: Final answer
    x = 157,644,970.11

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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.