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Finding the Fourth Proportional to 866,641,661.93, 1,195,967,811.57 and 470,164,651.49

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Solution

The fourth proportional to 866,641,661.93, 1,195,967,811.57 and 470,164,651.49 is: 648,828,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,661.93 : 1,195,967,811.57 = 470,164,651.49 : x
  2. Step 2: Convert to fraction form
    866,641,661.93/1,195,967,811.57 = 470,164,651.49/x
  3. Step 3: Cross multiply
    866,641,661.93x = 1,195,967,811.57 × 470,164,651.49
  4. Step 4: Simplify right side
    866,641,661.93x = 562,301,789,320,067,008
  5. Step 5: Solve for x
    x = 562,301,789,320,067,008/866,641,661.93
  6. Step 6: Final answer
    x = 648,828,476.66

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