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Finding the Fourth Proportional to 807,149,109.60, 1,208,810,476.80 and 807,149,109.60

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Solution

The fourth proportional to 807,149,109.60, 1,208,810,476.80 and 807,149,109.60 is: 1,208,810,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,149,109.60 : 1,208,810,476.80 = 807,149,109.60 : x
  2. Step 2: Convert to fraction form
    807,149,109.60/1,208,810,476.80 = 807,149,109.60/x
  3. Step 3: Cross multiply
    807,149,109.60x = 1,208,810,476.80 × 807,149,109.60
  4. Step 4: Simplify right side
    807,149,109.60x = 975,690,300,024,271,488
  5. Step 5: Solve for x
    x = 975,690,300,024,271,488/807,149,109.60
  6. Step 6: Final answer
    x = 1,208,810,476.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.