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Finding the Fourth Proportional to 6,705,520,728, 9,186,605,070.40 and 6,454,179,827.52

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Solution

The fourth proportional to 6,705,520,728, 9,186,605,070.40 and 6,454,179,827.52 is: 8,842,266,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705,520,728 : 9,186,605,070.40 = 6,454,179,827.52 : x
  2. Step 2: Convert to fraction form
    6,705,520,728/9,186,605,070.40 = 6,454,179,827.52/x
  3. Step 3: Cross multiply
    6,705,520,728x = 9,186,605,070.40 × 6,454,179,827.52
  4. Step 4: Simplify right side
    6,705,520,728x = 59,292,001,128,768,634,880
  5. Step 5: Solve for x
    x = 59,292,001,128,768,634,880/6,705,520,728
  6. Step 6: Final answer
    x = 8,842,266,474.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.