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Finding the Fourth Proportional to 1,789,684,923.47, 2,469,841,741.71 and 996,730,775.42

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Solution

The fourth proportional to 1,789,684,923.47, 2,469,841,741.71 and 996,730,775.42 is: 1,375,531,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,684,923.47 : 2,469,841,741.71 = 996,730,775.42 : x
  2. Step 2: Convert to fraction form
    1,789,684,923.47/2,469,841,741.71 = 996,730,775.42/x
  3. Step 3: Cross multiply
    1,789,684,923.47x = 2,469,841,741.71 × 996,730,775.42
  4. Step 4: Simplify right side
    1,789,684,923.47x = 2,461,767,274,366,942,208
  5. Step 5: Solve for x
    x = 2,461,767,274,366,942,208/1,789,684,923.47
  6. Step 6: Final answer
    x = 1,375,531,101.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.