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Finding the Fourth Proportional to 732,562,015,903.20, 1,098,843,023,854.80 and 732,562,015,903.20

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Solution

The fourth proportional to 732,562,015,903.20, 1,098,843,023,854.80 and 732,562,015,903.20 is: 1,098,843,023,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,562,015,903.20 : 1,098,843,023,854.80 = 732,562,015,903.20 : x
  2. Step 2: Convert to fraction form
    732,562,015,903.20/1,098,843,023,854.80 = 732,562,015,903.20/x
  3. Step 3: Cross multiply
    732,562,015,903.20x = 1,098,843,023,854.80 × 732,562,015,903.20
  4. Step 4: Simplify right side
    732,562,015,903.20x = 804,970,660,716,240,303,030,272
  5. Step 5: Solve for x
    x = 804,970,660,716,240,303,030,272/732,562,015,903.20
  6. Step 6: Final answer
    x = 1,098,843,023,854.80

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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.