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Finding the Fourth Proportional to 845,187,813.60, 1,267,781,720.40 and 845,187,813.60

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Solution

The fourth proportional to 845,187,813.60, 1,267,781,720.40 and 845,187,813.60 is: 1,267,781,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,187,813.60 : 1,267,781,720.40 = 845,187,813.60 : x
  2. Step 2: Convert to fraction form
    845,187,813.60/1,267,781,720.40 = 845,187,813.60/x
  3. Step 3: Cross multiply
    845,187,813.60x = 1,267,781,720.40 × 845,187,813.60
  4. Step 4: Simplify right side
    845,187,813.60x = 1,071,513,660,386,922,624
  5. Step 5: Solve for x
    x = 1,071,513,660,386,922,624/845,187,813.60
  6. Step 6: Final answer
    x = 1,267,781,720.40

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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.