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Finding the Fourth Proportional to 2,125,402,417,342.60, 3,188,103,626,014 and 2,125,402,417,342.60

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Solution

The fourth proportional to 2,125,402,417,342.60, 3,188,103,626,014 and 2,125,402,417,342.60 is: 3,188,103,626,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,417,342.60 : 3,188,103,626,014 = 2,125,402,417,342.60 : x
  2. Step 2: Convert to fraction form
    2,125,402,417,342.60/3,188,103,626,014 = 2,125,402,417,342.60/x
  3. Step 3: Cross multiply
    2,125,402,417,342.60x = 3,188,103,626,014 × 2,125,402,417,342.60
  4. Step 4: Simplify right side
    2,125,402,417,342.60x = 6,776,003,153,468,864,201,752,576
  5. Step 5: Solve for x
    x = 6,776,003,153,468,864,201,752,576/2,125,402,417,342.60
  6. Step 6: Final answer
    x = 3,188,103,626,014

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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.