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Finding the Fourth Proportional to 978,615,010.65, 1,467,922,515.98 and 543,258,543.45

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Solution

The fourth proportional to 978,615,010.65, 1,467,922,515.98 and 543,258,543.45 is: 814,887,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,615,010.65 : 1,467,922,515.98 = 543,258,543.45 : x
  2. Step 2: Convert to fraction form
    978,615,010.65/1,467,922,515.98 = 543,258,543.45/x
  3. Step 3: Cross multiply
    978,615,010.65x = 1,467,922,515.98 × 543,258,543.45
  4. Step 4: Simplify right side
    978,615,010.65x = 797,461,447,926,037,888
  5. Step 5: Solve for x
    x = 797,461,447,926,037,888/978,615,010.65
  6. Step 6: Final answer
    x = 814,887,815.18

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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.