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Finding the Fourth Proportional to 3,888,461,805.34, 5,832,707,840.34 and 940,736,693.78

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Solution

The fourth proportional to 3,888,461,805.34, 5,832,707,840.34 and 940,736,693.78 is: 1,411,108,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888,461,805.34 : 5,832,707,840.34 = 940,736,693.78 : x
  2. Step 2: Convert to fraction form
    3,888,461,805.34/5,832,707,840.34 = 940,736,693.78/x
  3. Step 3: Cross multiply
    3,888,461,805.34x = 5,832,707,840.34 × 940,736,693.78
  4. Step 4: Simplify right side
    3,888,461,805.34x = 5,487,042,289,506,136,064
  5. Step 5: Solve for x
    x = 5,487,042,289,506,136,064/3,888,461,805.34
  6. Step 6: Final answer
    x = 1,411,108,701.64

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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.