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Finding the Fourth Proportional to 982,680,822,070.70, 1,474,021,233,106 and 982,680,822,070.70

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Solution

The fourth proportional to 982,680,822,070.70, 1,474,021,233,106 and 982,680,822,070.70 is: 1,474,021,233,106

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,680,822,070.70 : 1,474,021,233,106 = 982,680,822,070.70 : x
  2. Step 2: Convert to fraction form
    982,680,822,070.70/1,474,021,233,106 = 982,680,822,070.70/x
  3. Step 3: Cross multiply
    982,680,822,070.70x = 1,474,021,233,106 × 982,680,822,070.70
  4. Step 4: Simplify right side
    982,680,822,070.70x = 1,448,492,397,098,270,915,035,136
  5. Step 5: Solve for x
    x = 1,448,492,397,098,270,915,035,136/982,680,822,070.70
  6. Step 6: Final answer
    x = 1,474,021,233,106

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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.