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Finding the Fourth Proportional to 2,265,522,048,000.90, 3,398,283,072,001.80 and 2,265,522,048,000.90

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Solution

The fourth proportional to 2,265,522,048,000.90, 3,398,283,072,001.80 and 2,265,522,048,000.90 is: 3,398,283,072,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,522,048,000.90 : 3,398,283,072,001.80 = 2,265,522,048,000.90 : x
  2. Step 2: Convert to fraction form
    2,265,522,048,000.90/3,398,283,072,001.80 = 2,265,522,048,000.90/x
  3. Step 3: Cross multiply
    2,265,522,048,000.90x = 3,398,283,072,001.80 × 2,265,522,048,000.90
  4. Step 4: Simplify right side
    2,265,522,048,000.90x = 7,698,885,224,968,306,791,809,024
  5. Step 5: Solve for x
    x = 7,698,885,224,968,306,791,809,024/2,265,522,048,000.90
  6. Step 6: Final answer
    x = 3,398,283,072,001.80

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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.