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Finding the Fourth Proportional to 1,397,941,196.06, 1,929,146,708.76 and 762,874,253.03

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Solution

The fourth proportional to 1,397,941,196.06, 1,929,146,708.76 and 762,874,253.03 is: 1,052,759,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,941,196.06 : 1,929,146,708.76 = 762,874,253.03 : x
  2. Step 2: Convert to fraction form
    1,397,941,196.06/1,929,146,708.76 = 762,874,253.03/x
  3. Step 3: Cross multiply
    1,397,941,196.06x = 1,929,146,708.76 × 762,874,253.03
  4. Step 4: Simplify right side
    1,397,941,196.06x = 1,471,696,354,430,567,936
  5. Step 5: Solve for x
    x = 1,471,696,354,430,567,936/1,397,941,196.06
  6. Step 6: Final answer
    x = 1,052,759,843.25

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Double scale
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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.