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Finding the Fourth Proportional to 521,528,074,266.80, 782,292,111,400.20 and 521,528,074,266.80

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Solution

The fourth proportional to 521,528,074,266.80, 782,292,111,400.20 and 521,528,074,266.80 is: 782,292,111,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,528,074,266.80 : 782,292,111,400.20 = 521,528,074,266.80 : x
  2. Step 2: Convert to fraction form
    521,528,074,266.80/782,292,111,400.20 = 521,528,074,266.80/x
  3. Step 3: Cross multiply
    521,528,074,266.80x = 782,292,111,400.20 × 521,528,074,266.80
  4. Step 4: Simplify right side
    521,528,074,266.80x = 407,987,298,372,655,219,998,720
  5. Step 5: Solve for x
    x = 407,987,298,372,655,219,998,720/521,528,074,266.80
  6. Step 6: Final answer
    x = 782,292,111,400.20

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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.