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Finding the Fourth Proportional to 142,830,785.70, 200,416,596.30 and 142,830,785.70

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Solution

The fourth proportional to 142,830,785.70, 200,416,596.30 and 142,830,785.70 is: 200,416,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,830,785.70 : 200,416,596.30 = 142,830,785.70 : x
  2. Step 2: Convert to fraction form
    142,830,785.70/200,416,596.30 = 142,830,785.70/x
  3. Step 3: Cross multiply
    142,830,785.70x = 200,416,596.30 × 142,830,785.70
  4. Step 4: Simplify right side
    142,830,785.70x = 28,625,659,916,848,712
  5. Step 5: Solve for x
    x = 28,625,659,916,848,712/142,830,785.70
  6. Step 6: Final answer
    x = 200,416,596.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.