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Finding the Fourth Proportional to 866,641,659.93, 1,195,967,808.81 and 470,164,649.49

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Solution

The fourth proportional to 866,641,659.93, 1,195,967,808.81 and 470,164,649.49 is: 648,828,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,641,659.93 : 1,195,967,808.81 = 470,164,649.49 : x
  2. Step 2: Convert to fraction form
    866,641,659.93/1,195,967,808.81 = 470,164,649.49/x
  3. Step 3: Cross multiply
    866,641,659.93x = 1,195,967,808.81 × 470,164,649.49
  4. Step 4: Simplify right side
    866,641,659.93x = 562,301,785,630,476,992
  5. Step 5: Solve for x
    x = 562,301,785,630,476,992/866,641,659.93
  6. Step 6: Final answer
    x = 648,828,473.90

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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.