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Finding the Fourth Proportional to 866,819,362.64, 1,196,151,831.12 and 475,703,980.88

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Solution

The fourth proportional to 866,819,362.64, 1,196,151,831.12 and 475,703,980.88 is: 656,439,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,819,362.64 : 1,196,151,831.12 = 475,703,980.88 : x
  2. Step 2: Convert to fraction form
    866,819,362.64/1,196,151,831.12 = 475,703,980.88/x
  3. Step 3: Cross multiply
    866,819,362.64x = 1,196,151,831.12 × 475,703,980.88
  4. Step 4: Simplify right side
    866,819,362.64x = 569,014,187,800,685,440
  5. Step 5: Solve for x
    x = 569,014,187,800,685,440/866,819,362.64
  6. Step 6: Final answer
    x = 656,439,175.59

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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.