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Finding the Fourth Proportional to 82,506,546,010.80, 123,759,819,016.20 and 82,506,546,010.80

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Solution

The fourth proportional to 82,506,546,010.80, 123,759,819,016.20 and 82,506,546,010.80 is: 123,759,819,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,506,546,010.80 : 123,759,819,016.20 = 82,506,546,010.80 : x
  2. Step 2: Convert to fraction form
    82,506,546,010.80/123,759,819,016.20 = 82,506,546,010.80/x
  3. Step 3: Cross multiply
    82,506,546,010.80x = 123,759,819,016.20 × 82,506,546,010.80
  4. Step 4: Simplify right side
    82,506,546,010.80x = 10,210,995,201,948,386,328,576
  5. Step 5: Solve for x
    x = 10,210,995,201,948,386,328,576/82,506,546,010.80
  6. Step 6: Final answer
    x = 123,759,819,016.20

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1.5x scale

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.