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Finding the Fourth Proportional to 83,666,785,904.04, 125,500,178,856.06 and 83,666,785,904.04

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Solution

The fourth proportional to 83,666,785,904.04, 125,500,178,856.06 and 83,666,785,904.04 is: 125,500,178,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666,785,904.04 : 125,500,178,856.06 = 83,666,785,904.04 : x
  2. Step 2: Convert to fraction form
    83,666,785,904.04/125,500,178,856.06 = 83,666,785,904.04/x
  3. Step 3: Cross multiply
    83,666,785,904.04x = 125,500,178,856.06 × 83,666,785,904.04
  4. Step 4: Simplify right side
    83,666,785,904.04x = 10,500,196,595,268,698,767,360
  5. Step 5: Solve for x
    x = 10,500,196,595,268,698,767,360/83,666,785,904.04
  6. Step 6: Final answer
    x = 125,500,178,856.06

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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.