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Finding the Fourth Proportional to 1,094,706,867, 1,509,484,917.42 and 697,600,803

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Solution

The fourth proportional to 1,094,706,867, 1,509,484,917.42 and 697,600,803 is: 961,917,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,706,867 : 1,509,484,917.42 = 697,600,803 : x
  2. Step 2: Convert to fraction form
    1,094,706,867/1,509,484,917.42 = 697,600,803/x
  3. Step 3: Cross multiply
    1,094,706,867x = 1,509,484,917.42 × 697,600,803
  4. Step 4: Simplify right side
    1,094,706,867x = 1,053,017,890,508,580,736
  5. Step 5: Solve for x
    x = 1,053,017,890,508,580,736/1,094,706,867
  6. Step 6: Final answer
    x = 961,917,680.66

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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.