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Finding the Fourth Proportional to 496,971,186,214.73, 745,456,779,322.09 and 496,971,186,214.73

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Solution

The fourth proportional to 496,971,186,214.73, 745,456,779,322.09 and 496,971,186,214.73 is: 745,456,779,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,971,186,214.73 : 745,456,779,322.09 = 496,971,186,214.73 : x
  2. Step 2: Convert to fraction form
    496,971,186,214.73/745,456,779,322.09 = 496,971,186,214.73/x
  3. Step 3: Cross multiply
    496,971,186,214.73x = 745,456,779,322.09 × 496,971,186,214.73
  4. Step 4: Simplify right side
    496,971,186,214.73x = 370,470,539,891,511,213,948,928
  5. Step 5: Solve for x
    x = 370,470,539,891,511,213,948,928/496,971,186,214.73
  6. Step 6: Final answer
    x = 745,456,779,322.09

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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.