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Finding the Fourth Proportional to 5,166,866,232,003.40, 7,750,299,348,004.90 and 5,166,866,232,003.40

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Solution

The fourth proportional to 5,166,866,232,003.40, 7,750,299,348,004.90 and 5,166,866,232,003.40 is: 7,750,299,348,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166,866,232,003.40 : 7,750,299,348,004.90 = 5,166,866,232,003.40 : x
  2. Step 2: Convert to fraction form
    5,166,866,232,003.40/7,750,299,348,004.90 = 5,166,866,232,003.40/x
  3. Step 3: Cross multiply
    5,166,866,232,003.40x = 7,750,299,348,004.90 × 5,166,866,232,003.40
  4. Step 4: Simplify right side
    5,166,866,232,003.40x = 40,044,759,989,124,488,421,703,680
  5. Step 5: Solve for x
    x = 40,044,759,989,124,488,421,703,680/5,166,866,232,003.40
  6. Step 6: Final answer
    x = 7,750,299,348,004.90

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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.