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Finding the Fourth Proportional to 503,166,648,728.16, 754,855,987,687.62 and 163,179,316,533

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Solution

The fourth proportional to 503,166,648,728.16, 754,855,987,687.62 and 163,179,316,533 is: 244,803,355,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,166,648,728.16 : 754,855,987,687.62 = 163,179,316,533 : x
  2. Step 2: Convert to fraction form
    503,166,648,728.16/754,855,987,687.62 = 163,179,316,533/x
  3. Step 3: Cross multiply
    503,166,648,728.16x = 754,855,987,687.62 × 163,179,316,533
  4. Step 4: Simplify right side
    503,166,648,728.16x = 123,176,884,151,708,494,594,048
  5. Step 5: Solve for x
    x = 123,176,884,151,708,494,594,048/503,166,648,728.16
  6. Step 6: Final answer
    x = 244,803,355,832.62

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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.