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Finding the Fourth Proportional to 162,546,696,040.80, 243,820,044,061.20 and 162,546,696,040.80

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Solution

The fourth proportional to 162,546,696,040.80, 243,820,044,061.20 and 162,546,696,040.80 is: 243,820,044,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,546,696,040.80 : 243,820,044,061.20 = 162,546,696,040.80 : x
  2. Step 2: Convert to fraction form
    162,546,696,040.80/243,820,044,061.20 = 162,546,696,040.80/x
  3. Step 3: Cross multiply
    162,546,696,040.80x = 243,820,044,061.20 × 162,546,696,040.80
  4. Step 4: Simplify right side
    162,546,696,040.80x = 39,632,142,590,670,337,474,560
  5. Step 5: Solve for x
    x = 39,632,142,590,670,337,474,560/162,546,696,040.80
  6. Step 6: Final answer
    x = 243,820,044,061.20

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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.