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Finding the Fourth Proportional to 20,473,641,921.60, 30,710,462,882.40 and 20,473,641,921.60

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Solution

The fourth proportional to 20,473,641,921.60, 30,710,462,882.40 and 20,473,641,921.60 is: 30,710,462,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473,641,921.60 : 30,710,462,882.40 = 20,473,641,921.60 : x
  2. Step 2: Convert to fraction form
    20,473,641,921.60/30,710,462,882.40 = 20,473,641,921.60/x
  3. Step 3: Cross multiply
    20,473,641,921.60x = 30,710,462,882.40 × 20,473,641,921.60
  4. Step 4: Simplify right side
    20,473,641,921.60x = 628,755,020,300,845,449,216
  5. Step 5: Solve for x
    x = 628,755,020,300,845,449,216/20,473,641,921.60
  6. Step 6: Final answer
    x = 30,710,462,882.40

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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.