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Finding the Fourth Proportional to 496,971,186,216.23, 745,456,779,324.34 and 496,971,186,216.23

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Solution

The fourth proportional to 496,971,186,216.23, 745,456,779,324.34 and 496,971,186,216.23 is: 745,456,779,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,971,186,216.23 : 745,456,779,324.34 = 496,971,186,216.23 : x
  2. Step 2: Convert to fraction form
    496,971,186,216.23/745,456,779,324.34 = 496,971,186,216.23/x
  3. Step 3: Cross multiply
    496,971,186,216.23x = 745,456,779,324.34 × 496,971,186,216.23
  4. Step 4: Simplify right side
    496,971,186,216.23x = 370,470,539,893,747,616,841,728
  5. Step 5: Solve for x
    x = 370,470,539,893,747,616,841,728/496,971,186,216.23
  6. Step 6: Final answer
    x = 745,456,779,324.34

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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.