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Finding the Fourth Proportional to 22,674,866,998.40, 34,012,300,497.60 and 22,674,866,998.40

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Solution

The fourth proportional to 22,674,866,998.40, 34,012,300,497.60 and 22,674,866,998.40 is: 34,012,300,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674,866,998.40 : 34,012,300,497.60 = 22,674,866,998.40 : x
  2. Step 2: Convert to fraction form
    22,674,866,998.40/34,012,300,497.60 = 22,674,866,998.40/x
  3. Step 3: Cross multiply
    22,674,866,998.40x = 34,012,300,497.60 × 22,674,866,998.40
  4. Step 4: Simplify right side
    22,674,866,998.40x = 771,224,390,092,694,093,824
  5. Step 5: Solve for x
    x = 771,224,390,092,694,093,824/22,674,866,998.40
  6. Step 6: Final answer
    x = 34,012,300,497.60

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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.