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Finding the Fourth Proportional to 161,834,112,041.40, 242,424,650,711.70 and 161,834,112,041.40

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Solution

The fourth proportional to 161,834,112,041.40, 242,424,650,711.70 and 161,834,112,041.40 is: 242,424,650,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,834,112,041.40 : 242,424,650,711.70 = 161,834,112,041.40 : x
  2. Step 2: Convert to fraction form
    161,834,112,041.40/242,424,650,711.70 = 161,834,112,041.40/x
  3. Step 3: Cross multiply
    161,834,112,041.40x = 242,424,650,711.70 × 161,834,112,041.40
  4. Step 4: Simplify right side
    161,834,112,041.40x = 39,232,578,084,874,515,120,128
  5. Step 5: Solve for x
    x = 39,232,578,084,874,515,120,128/161,834,112,041.40
  6. Step 6: Final answer
    x = 242,424,650,711.70

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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.