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Finding the Fourth Proportional to 448,471,005.40, 671,431,049.70 and 448,471,005.40

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Solution

The fourth proportional to 448,471,005.40, 671,431,049.70 and 448,471,005.40 is: 671,431,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,471,005.40 : 671,431,049.70 = 448,471,005.40 : x
  2. Step 2: Convert to fraction form
    448,471,005.40/671,431,049.70 = 448,471,005.40/x
  3. Step 3: Cross multiply
    448,471,005.40x = 671,431,049.70 × 448,471,005.40
  4. Step 4: Simplify right side
    448,471,005.40x = 301,117,357,915,736,384
  5. Step 5: Solve for x
    x = 301,117,357,915,736,384/448,471,005.40
  6. Step 6: Final answer
    x = 671,431,049.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.