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Finding the Fourth Proportional to 11,009,276.30, 16,482,421.65 and 11,009,276.30

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Solution

The fourth proportional to 11,009,276.30, 16,482,421.65 and 11,009,276.30 is: 16,482,421.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009,276.30 : 16,482,421.65 = 11,009,276.30 : x
  2. Step 2: Convert to fraction form
    11,009,276.30/16,482,421.65 = 11,009,276.30/x
  3. Step 3: Cross multiply
    11,009,276.30x = 16,482,421.65 × 11,009,276.30
  4. Step 4: Simplify right side
    11,009,276.30x = 181,459,534,037,951.91
  5. Step 5: Solve for x
    x = 181,459,534,037,951.91/11,009,276.30
  6. Step 6: Final answer
    x = 16,482,421.65

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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.