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Finding the Fourth Proportional to 9,657,794,825.80, 14,486,692,238.70 and 9,657,794,825.80

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Solution

The fourth proportional to 9,657,794,825.80, 14,486,692,238.70 and 9,657,794,825.80 is: 14,486,692,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,794,825.80 : 14,486,692,238.70 = 9,657,794,825.80 : x
  2. Step 2: Convert to fraction form
    9,657,794,825.80/14,486,692,238.70 = 9,657,794,825.80/x
  3. Step 3: Cross multiply
    9,657,794,825.80x = 14,486,692,238.70 × 9,657,794,825.80
  4. Step 4: Simplify right side
    9,657,794,825.80x = 139,909,501,345,873,870,848
  5. Step 5: Solve for x
    x = 139,909,501,345,873,870,848/9,657,794,825.80
  6. Step 6: Final answer
    x = 14,486,692,238.70

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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.