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Finding the Fourth Proportional to 11,009,358,045.30, 16,514,037,067.98 and 11,009,358,045.30

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Solution

The fourth proportional to 11,009,358,045.30, 16,514,037,067.98 and 11,009,358,045.30 is: 16,514,037,067.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009,358,045.30 : 16,514,037,067.98 = 11,009,358,045.30 : x
  2. Step 2: Convert to fraction form
    11,009,358,045.30/16,514,037,067.98 = 11,009,358,045.30/x
  3. Step 3: Cross multiply
    11,009,358,045.30x = 16,514,037,067.98 × 11,009,358,045.30
  4. Step 4: Simplify right side
    11,009,358,045.30x = 181,808,946,854,748,028,928
  5. Step 5: Solve for x
    x = 181,808,946,854,748,028,928/11,009,358,045.30
  6. Step 6: Final answer
    x = 16,514,037,067.98

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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.