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Finding the Fourth Proportional to 55,777,857,092.10, 83,666,785,638.16 and 55,777,857,092.10

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Solution

The fourth proportional to 55,777,857,092.10, 83,666,785,638.16 and 55,777,857,092.10 is: 83,666,785,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,777,857,092.10 : 83,666,785,638.16 = 55,777,857,092.10 : x
  2. Step 2: Convert to fraction form
    55,777,857,092.10/83,666,785,638.16 = 55,777,857,092.10/x
  3. Step 3: Cross multiply
    55,777,857,092.10x = 83,666,785,638.16 × 55,777,857,092.10
  4. Step 4: Simplify right side
    55,777,857,092.10x = 4,666,754,012,680,653,111,296
  5. Step 5: Solve for x
    x = 4,666,754,012,680,653,111,296/55,777,857,092.10
  6. Step 6: Final answer
    x = 83,666,785,638.16

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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.