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Finding the Fourth Proportional to 411,804,652.59, 617,706,483.17 and 105,096,798.27

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Solution

The fourth proportional to 411,804,652.59, 617,706,483.17 and 105,096,798.27 is: 157,645,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,804,652.59 : 617,706,483.17 = 105,096,798.27 : x
  2. Step 2: Convert to fraction form
    411,804,652.59/617,706,483.17 = 105,096,798.27/x
  3. Step 3: Cross multiply
    411,804,652.59x = 617,706,483.17 × 105,096,798.27
  4. Step 4: Simplify right side
    411,804,652.59x = 64,918,973,651,263,152
  5. Step 5: Solve for x
    x = 64,918,973,651,263,152/411,804,652.59
  6. Step 6: Final answer
    x = 157,645,070.89

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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.