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Finding the Fourth Proportional to 411,804,600.96, 617,706,405.60 and 105,096,746.64

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Solution

The fourth proportional to 411,804,600.96, 617,706,405.60 and 105,096,746.64 is: 157,644,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804,600.96 : 617,706,405.60 = 105,096,746.64 : x
  2. Step 2: Convert to fraction form
    411,804,600.96/617,706,405.60 = 105,096,746.64/x
  3. Step 3: Cross multiply
    411,804,600.96x = 617,706,405.60 × 105,096,746.64
  4. Step 4: Simplify right side
    411,804,600.96x = 64,918,933,607,248,280
  5. Step 5: Solve for x
    x = 64,918,933,607,248,280/411,804,600.96
  6. Step 6: Final answer
    x = 157,644,993.42

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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.