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Finding the Fourth Proportional to 323,407,712,716.40, 485,111,569,074.60 and 323,407,712,716.40

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Solution

The fourth proportional to 323,407,712,716.40, 485,111,569,074.60 and 323,407,712,716.40 is: 485,111,569,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,407,712,716.40 : 485,111,569,074.60 = 323,407,712,716.40 : x
  2. Step 2: Convert to fraction form
    323,407,712,716.40/485,111,569,074.60 = 323,407,712,716.40/x
  3. Step 3: Cross multiply
    323,407,712,716.40x = 485,111,569,074.60 × 323,407,712,716.40
  4. Step 4: Simplify right side
    323,407,712,716.40x = 156,888,822,966,680,272,502,784
  5. Step 5: Solve for x
    x = 156,888,822,966,680,272,502,784/323,407,712,716.40
  6. Step 6: Final answer
    x = 485,111,569,074.60

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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.