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Finding the Fourth Proportional to 145,366,905,814.80, 218,050,358,722.20 and 145,366,905,814.80

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Solution

The fourth proportional to 145,366,905,814.80, 218,050,358,722.20 and 145,366,905,814.80 is: 218,050,358,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,366,905,814.80 : 218,050,358,722.20 = 145,366,905,814.80 : x
  2. Step 2: Convert to fraction form
    145,366,905,814.80/218,050,358,722.20 = 145,366,905,814.80/x
  3. Step 3: Cross multiply
    145,366,905,814.80x = 218,050,358,722.20 × 145,366,905,814.80
  4. Step 4: Simplify right side
    145,366,905,814.80x = 31,697,305,959,253,399,306,240
  5. Step 5: Solve for x
    x = 31,697,305,959,253,399,306,240/145,366,905,814.80
  6. Step 6: Final answer
    x = 218,050,358,722.20

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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.