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Finding the Fourth Proportional to 206,695,577,740.01, 310,043,366,610.02 and 206,695,577,740.01

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Solution

The fourth proportional to 206,695,577,740.01, 310,043,366,610.02 and 206,695,577,740.01 is: 310,043,366,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695,577,740.01 : 310,043,366,610.02 = 206,695,577,740.01 : x
  2. Step 2: Convert to fraction form
    206,695,577,740.01/310,043,366,610.02 = 206,695,577,740.01/x
  3. Step 3: Cross multiply
    206,695,577,740.01x = 310,043,366,610.02 × 206,695,577,740.01
  4. Step 4: Simplify right side
    206,695,577,740.01x = 64,084,592,785,915,818,016,768
  5. Step 5: Solve for x
    x = 64,084,592,785,915,818,016,768/206,695,577,740.01
  6. Step 6: Final answer
    x = 310,043,366,610.02

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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.