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Finding the Fourth Proportional to 6,206,031,953.40, 9,309,047,930.10 and 6,206,031,953.40

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Solution

The fourth proportional to 6,206,031,953.40, 9,309,047,930.10 and 6,206,031,953.40 is: 9,309,047,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206,031,953.40 : 9,309,047,930.10 = 6,206,031,953.40 : x
  2. Step 2: Convert to fraction form
    6,206,031,953.40/9,309,047,930.10 = 6,206,031,953.40/x
  3. Step 3: Cross multiply
    6,206,031,953.40x = 9,309,047,930.10 × 6,206,031,953.40
  4. Step 4: Simplify right side
    6,206,031,953.40x = 57,772,248,909,932,732,416
  5. Step 5: Solve for x
    x = 57,772,248,909,932,732,416/6,206,031,953.40
  6. Step 6: Final answer
    x = 9,309,047,930.10

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Double scale
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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.