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Finding the Fourth Proportional to 16,818,084,427.60, 25,227,126,641.40 and 16,818,084,427.60

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Solution

The fourth proportional to 16,818,084,427.60, 25,227,126,641.40 and 16,818,084,427.60 is: 25,227,126,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818,084,427.60 : 25,227,126,641.40 = 16,818,084,427.60 : x
  2. Step 2: Convert to fraction form
    16,818,084,427.60/25,227,126,641.40 = 16,818,084,427.60/x
  3. Step 3: Cross multiply
    16,818,084,427.60x = 25,227,126,641.40 × 16,818,084,427.60
  4. Step 4: Simplify right side
    16,818,084,427.60x = 424,271,945,720,822,497,280
  5. Step 5: Solve for x
    x = 424,271,945,720,822,497,280/16,818,084,427.60
  6. Step 6: Final answer
    x = 25,227,126,641.40

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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.