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Finding the Fourth Proportional to 25,891,242,700.80, 38,836,864,051.20 and 25,891,242,700.80

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Solution

The fourth proportional to 25,891,242,700.80, 38,836,864,051.20 and 25,891,242,700.80 is: 38,836,864,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891,242,700.80 : 38,836,864,051.20 = 25,891,242,700.80 : x
  2. Step 2: Convert to fraction form
    25,891,242,700.80/38,836,864,051.20 = 25,891,242,700.80/x
  3. Step 3: Cross multiply
    25,891,242,700.80x = 38,836,864,051.20 × 25,891,242,700.80
  4. Step 4: Simplify right side
    25,891,242,700.80x = 1,005,534,672,887,593,828,352
  5. Step 5: Solve for x
    x = 1,005,534,672,887,593,828,352/25,891,242,700.80
  6. Step 6: Final answer
    x = 38,836,864,051.20

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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.