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Finding the Fourth Proportional to 211,729,506,564.80, 297,165,156,529.60 and 211,729,506,564.80

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Solution

The fourth proportional to 211,729,506,564.80, 297,165,156,529.60 and 211,729,506,564.80 is: 297,165,156,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729,506,564.80 : 297,165,156,529.60 = 211,729,506,564.80 : x
  2. Step 2: Convert to fraction form
    211,729,506,564.80/297,165,156,529.60 = 211,729,506,564.80/x
  3. Step 3: Cross multiply
    211,729,506,564.80x = 297,165,156,529.60 × 211,729,506,564.80
  4. Step 4: Simplify right side
    211,729,506,564.80x = 62,918,631,960,263,752,941,568
  5. Step 5: Solve for x
    x = 62,918,631,960,263,752,941,568/211,729,506,564.80
  6. Step 6: Final answer
    x = 297,165,156,529.60

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1.5x scale

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.