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Finding the Fourth Proportional to 31,353,254,195.80, 47,029,881,293.70 and 31,353,254,195.80

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Solution

The fourth proportional to 31,353,254,195.80, 47,029,881,293.70 and 31,353,254,195.80 is: 47,029,881,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353,254,195.80 : 47,029,881,293.70 = 31,353,254,195.80 : x
  2. Step 2: Convert to fraction form
    31,353,254,195.80/47,029,881,293.70 = 31,353,254,195.80/x
  3. Step 3: Cross multiply
    31,353,254,195.80x = 47,029,881,293.70 × 31,353,254,195.80
  4. Step 4: Simplify right side
    31,353,254,195.80x = 1,474,539,822,999,675,338,752
  5. Step 5: Solve for x
    x = 1,474,539,822,999,675,338,752/31,353,254,195.80
  6. Step 6: Final answer
    x = 47,029,881,293.70

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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.