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Finding the Fourth Proportional to 317,993,802.48, 476,990,870.04 and 99,661,149.06

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Solution

The fourth proportional to 317,993,802.48, 476,990,870.04 and 99,661,149.06 is: 149,491,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,993,802.48 : 476,990,870.04 = 99,661,149.06 : x
  2. Step 2: Convert to fraction form
    317,993,802.48/476,990,870.04 = 99,661,149.06/x
  3. Step 3: Cross multiply
    317,993,802.48x = 476,990,870.04 × 99,661,149.06
  4. Step 4: Simplify right side
    317,993,802.48x = 47,537,458,199,315,528
  5. Step 5: Solve for x
    x = 47,537,458,199,315,528/317,993,802.48
  6. Step 6: Final answer
    x = 149,491,775.72

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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.