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Finding the Fourth Proportional to 1,011,014,786.85, 1,514,254,698.68 and 1,011,014,786.85

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Solution

The fourth proportional to 1,011,014,786.85, 1,514,254,698.68 and 1,011,014,786.85 is: 1,514,254,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,014,786.85 : 1,514,254,698.68 = 1,011,014,786.85 : x
  2. Step 2: Convert to fraction form
    1,011,014,786.85/1,514,254,698.68 = 1,011,014,786.85/x
  3. Step 3: Cross multiply
    1,011,014,786.85x = 1,514,254,698.68 × 1,011,014,786.85
  4. Step 4: Simplify right side
    1,011,014,786.85x = 1,530,933,891,417,516,032
  5. Step 5: Solve for x
    x = 1,530,933,891,417,516,032/1,011,014,786.85
  6. Step 6: Final answer
    x = 1,514,254,698.68

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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.