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Finding the Fourth Proportional to 2,578,514,506.95, 3,867,771,760.43 and 2,578,514,506.95

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Solution

The fourth proportional to 2,578,514,506.95, 3,867,771,760.43 and 2,578,514,506.95 is: 3,867,771,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,514,506.95 : 3,867,771,760.43 = 2,578,514,506.95 : x
  2. Step 2: Convert to fraction form
    2,578,514,506.95/3,867,771,760.43 = 2,578,514,506.95/x
  3. Step 3: Cross multiply
    2,578,514,506.95x = 3,867,771,760.43 × 2,578,514,506.95
  4. Step 4: Simplify right side
    2,578,514,506.95x = 9,973,105,593,827,401,728
  5. Step 5: Solve for x
    x = 9,973,105,593,827,401,728/2,578,514,506.95
  6. Step 6: Final answer
    x = 3,867,771,760.43

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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.