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Finding the Fourth Proportional to 807,267,636,015.70, 1,210,901,454,023.50 and 807,267,636,015.70

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Solution

The fourth proportional to 807,267,636,015.70, 1,210,901,454,023.50 and 807,267,636,015.70 is: 1,210,901,454,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,267,636,015.70 : 1,210,901,454,023.50 = 807,267,636,015.70 : x
  2. Step 2: Convert to fraction form
    807,267,636,015.70/1,210,901,454,023.50 = 807,267,636,015.70/x
  3. Step 3: Cross multiply
    807,267,636,015.70x = 1,210,901,454,023.50 × 807,267,636,015.70
  4. Step 4: Simplify right side
    807,267,636,015.70x = 977,521,554,237,524,564,508,672
  5. Step 5: Solve for x
    x = 977,521,554,237,524,564,508,672/807,267,636,015.70
  6. Step 6: Final answer
    x = 1,210,901,454,023.50

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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.