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Finding the Fourth Proportional to 662,710,365,300.15, 994,065,547,950.23 and 662,710,365,300.15

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Solution

The fourth proportional to 662,710,365,300.15, 994,065,547,950.23 and 662,710,365,300.15 is: 994,065,547,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,710,365,300.15 : 994,065,547,950.23 = 662,710,365,300.15 : x
  2. Step 2: Convert to fraction form
    662,710,365,300.15/994,065,547,950.23 = 662,710,365,300.15/x
  3. Step 3: Cross multiply
    662,710,365,300.15x = 994,065,547,950.23 × 662,710,365,300.15
  4. Step 4: Simplify right side
    662,710,365,300.15x = 658,777,542,414,390,758,735,872
  5. Step 5: Solve for x
    x = 658,777,542,414,390,758,735,872/662,710,365,300.15
  6. Step 6: Final answer
    x = 994,065,547,950.23

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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.