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Finding the Fourth Proportional to 797,668,701.14, 1,100,966,473.69 and 467,750,128.34

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Solution

The fourth proportional to 797,668,701.14, 1,100,966,473.69 and 467,750,128.34 is: 645,602,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,668,701.14 : 1,100,966,473.69 = 467,750,128.34 : x
  2. Step 2: Convert to fraction form
    797,668,701.14/1,100,966,473.69 = 467,750,128.34/x
  3. Step 3: Cross multiply
    797,668,701.14x = 1,100,966,473.69 × 467,750,128.34
  4. Step 4: Simplify right side
    797,668,701.14x = 514,977,209,368,117,760
  5. Step 5: Solve for x
    x = 514,977,209,368,117,760/797,668,701.14
  6. Step 6: Final answer
    x = 645,602,878.28

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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.