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Finding the Fourth Proportional to 142,898,310,011.20, 214,347,465,016.80 and 142,898,310,011.20

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Solution

The fourth proportional to 142,898,310,011.20, 214,347,465,016.80 and 142,898,310,011.20 is: 214,347,465,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898,310,011.20 : 214,347,465,016.80 = 142,898,310,011.20 : x
  2. Step 2: Convert to fraction form
    142,898,310,011.20/214,347,465,016.80 = 142,898,310,011.20/x
  3. Step 3: Cross multiply
    142,898,310,011.20x = 214,347,465,016.80 × 142,898,310,011.20
  4. Step 4: Simplify right side
    142,898,310,011.20x = 30,629,890,506,085,533,483,008
  5. Step 5: Solve for x
    x = 30,629,890,506,085,533,483,008/142,898,310,011.20
  6. Step 6: Final answer
    x = 214,347,465,016.80

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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.