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Finding the Fourth Proportional to 82,828,604,319.60, 124,242,906,479.40 and 82,828,604,319.60

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Solution

The fourth proportional to 82,828,604,319.60, 124,242,906,479.40 and 82,828,604,319.60 is: 124,242,906,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828,604,319.60 : 124,242,906,479.40 = 82,828,604,319.60 : x
  2. Step 2: Convert to fraction form
    82,828,604,319.60/124,242,906,479.40 = 82,828,604,319.60/x
  3. Step 3: Cross multiply
    82,828,604,319.60x = 124,242,906,479.40 × 82,828,604,319.60
  4. Step 4: Simplify right side
    82,828,604,319.60x = 10,290,866,540,299,289,624,576
  5. Step 5: Solve for x
    x = 10,290,866,540,299,289,624,576/82,828,604,319.60
  6. Step 6: Final answer
    x = 124,242,906,479.40

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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.