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Finding the Fourth Proportional to 662,710,365,300.52, 994,065,547,950.83 and 662,710,365,300.52

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Solution

The fourth proportional to 662,710,365,300.52, 994,065,547,950.83 and 662,710,365,300.52 is: 994,065,547,950.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,710,365,300.52 : 994,065,547,950.83 = 662,710,365,300.52 : x
  2. Step 2: Convert to fraction form
    662,710,365,300.52/994,065,547,950.83 = 662,710,365,300.52/x
  3. Step 3: Cross multiply
    662,710,365,300.52x = 994,065,547,950.83 × 662,710,365,300.52
  4. Step 4: Simplify right side
    662,710,365,300.52x = 658,777,542,415,156,068,220,928
  5. Step 5: Solve for x
    x = 658,777,542,415,156,068,220,928/662,710,365,300.52
  6. Step 6: Final answer
    x = 994,065,547,950.83

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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.