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Finding the Fourth Proportional to 1,737,709,552.30, 2,606,564,328.45 and 1,737,709,552.30

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Solution

The fourth proportional to 1,737,709,552.30, 2,606,564,328.45 and 1,737,709,552.30 is: 2,606,564,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,709,552.30 : 2,606,564,328.45 = 1,737,709,552.30 : x
  2. Step 2: Convert to fraction form
    1,737,709,552.30/2,606,564,328.45 = 1,737,709,552.30/x
  3. Step 3: Cross multiply
    1,737,709,552.30x = 2,606,564,328.45 × 1,737,709,552.30
  4. Step 4: Simplify right side
    1,737,709,552.30x = 4,529,451,732,231,998,976
  5. Step 5: Solve for x
    x = 4,529,451,732,231,998,976/1,737,709,552.30
  6. Step 6: Final answer
    x = 2,606,564,328.45

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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.