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Finding the Fourth Proportional to 9,657,794,838.30, 14,486,692,257.45 and 9,657,794,838.30

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Solution

The fourth proportional to 9,657,794,838.30, 14,486,692,257.45 and 9,657,794,838.30 is: 14,486,692,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,794,838.30 : 14,486,692,257.45 = 9,657,794,838.30 : x
  2. Step 2: Convert to fraction form
    9,657,794,838.30/14,486,692,257.45 = 9,657,794,838.30/x
  3. Step 3: Cross multiply
    9,657,794,838.30x = 14,486,692,257.45 × 9,657,794,838.30
  4. Step 4: Simplify right side
    9,657,794,838.30x = 139,909,501,708,041,175,040
  5. Step 5: Solve for x
    x = 139,909,501,708,041,175,040/9,657,794,838.30
  6. Step 6: Final answer
    x = 14,486,692,257.45

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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.