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Finding the Fourth Proportional to 767,846,656.25, 1,060,360,209.75 and 726,014,860.22

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Solution

The fourth proportional to 767,846,656.25, 1,060,360,209.75 and 726,014,860.22 is: 1,002,592,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,846,656.25 : 1,060,360,209.75 = 726,014,860.22 : x
  2. Step 2: Convert to fraction form
    767,846,656.25/1,060,360,209.75 = 726,014,860.22/x
  3. Step 3: Cross multiply
    767,846,656.25x = 1,060,360,209.75 × 726,014,860.22
  4. Step 4: Simplify right side
    767,846,656.25x = 769,837,269,459,194,368
  5. Step 5: Solve for x
    x = 769,837,269,459,194,368/767,846,656.25
  6. Step 6: Final answer
    x = 1,002,592,461.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.