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Finding the Fourth Proportional to 1,005,588,312.45, 1,508,382,468.68 and 1,005,588,312.45

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Solution

The fourth proportional to 1,005,588,312.45, 1,508,382,468.68 and 1,005,588,312.45 is: 1,508,382,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,588,312.45 : 1,508,382,468.68 = 1,005,588,312.45 : x
  2. Step 2: Convert to fraction form
    1,005,588,312.45/1,508,382,468.68 = 1,005,588,312.45/x
  3. Step 3: Cross multiply
    1,005,588,312.45x = 1,508,382,468.68 × 1,005,588,312.45
  4. Step 4: Simplify right side
    1,005,588,312.45x = 1,516,811,781,204,058,368
  5. Step 5: Solve for x
    x = 1,516,811,781,204,058,368/1,005,588,312.45
  6. Step 6: Final answer
    x = 1,508,382,468.68

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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.