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Finding the Fourth Proportional to 419,904,999.90, 586,506,510.90 and 419,904,999.90

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Solution

The fourth proportional to 419,904,999.90, 586,506,510.90 and 419,904,999.90 is: 586,506,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904,999.90 : 586,506,510.90 = 419,904,999.90 : x
  2. Step 2: Convert to fraction form
    419,904,999.90/586,506,510.90 = 419,904,999.90/x
  3. Step 3: Cross multiply
    419,904,999.90x = 586,506,510.90 × 419,904,999.90
  4. Step 4: Simplify right side
    419,904,999.90x = 246,277,016,400,813,824
  5. Step 5: Solve for x
    x = 246,277,016,400,813,824/419,904,999.90
  6. Step 6: Final answer
    x = 586,506,510.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.