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Finding the Fourth Proportional to 5,379,924,866,478.40, 8,069,887,299,718.20 and 5,379,924,866,478.40

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Solution

The fourth proportional to 5,379,924,866,478.40, 8,069,887,299,718.20 and 5,379,924,866,478.40 is: 8,069,887,299,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379,924,866,478.40 : 8,069,887,299,718.20 = 5,379,924,866,478.40 : x
  2. Step 2: Convert to fraction form
    5,379,924,866,478.40/8,069,887,299,718.20 = 5,379,924,866,478.40/x
  3. Step 3: Cross multiply
    5,379,924,866,478.40x = 8,069,887,299,718.20 × 5,379,924,866,478.40
  4. Step 4: Simplify right side
    5,379,924,866,478.40x = 43,415,387,353,432,180,240,941,056
  5. Step 5: Solve for x
    x = 43,415,387,353,432,180,240,941,056/5,379,924,866,478.40
  6. Step 6: Final answer
    x = 8,069,887,299,718.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.