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Finding the Fourth Proportional to 411,804,602.40, 617,706,407.88 and 105,096,748.08

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Solution

The fourth proportional to 411,804,602.40, 617,706,407.88 and 105,096,748.08 is: 157,644,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804,602.40 : 617,706,407.88 = 105,096,748.08 : x
  2. Step 2: Convert to fraction form
    411,804,602.40/617,706,407.88 = 105,096,748.08/x
  3. Step 3: Cross multiply
    411,804,602.40x = 617,706,407.88 × 105,096,748.08
  4. Step 4: Simplify right side
    411,804,602.40x = 64,918,934,736,366,088
  5. Step 5: Solve for x
    x = 64,918,934,736,366,088/411,804,602.40
  6. Step 6: Final answer
    x = 157,644,995.61

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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.