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Finding the Fourth Proportional to 83,662,980.30, 117,223,831.80 and 83,662,980.30

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Solution

The fourth proportional to 83,662,980.30, 117,223,831.80 and 83,662,980.30 is: 117,223,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662,980.30 : 117,223,831.80 = 83,662,980.30 : x
  2. Step 2: Convert to fraction form
    83,662,980.30/117,223,831.80 = 83,662,980.30/x
  3. Step 3: Cross multiply
    83,662,980.30x = 117,223,831.80 × 83,662,980.30
  4. Step 4: Simplify right side
    83,662,980.30x = 9,807,295,130,573,912
  5. Step 5: Solve for x
    x = 9,807,295,130,573,912/83,662,980.30
  6. Step 6: Final answer
    x = 117,223,831.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.