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Finding the Fourth Proportional to 726,603,287.80, 1,089,904,931.70 and 726,603,287.80

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Solution

The fourth proportional to 726,603,287.80, 1,089,904,931.70 and 726,603,287.80 is: 1,089,904,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,603,287.80 : 1,089,904,931.70 = 726,603,287.80 : x
  2. Step 2: Convert to fraction form
    726,603,287.80/1,089,904,931.70 = 726,603,287.80/x
  3. Step 3: Cross multiply
    726,603,287.80x = 1,089,904,931.70 × 726,603,287.80
  4. Step 4: Simplify right side
    726,603,287.80x = 791,928,506,762,654,464
  5. Step 5: Solve for x
    x = 791,928,506,762,654,464/726,603,287.80
  6. Step 6: Final answer
    x = 1,089,904,931.70

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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.