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Finding the Fourth Proportional to 209,109,831.80, 293,056,095.40 and 209,109,831.80

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Solution

The fourth proportional to 209,109,831.80, 293,056,095.40 and 209,109,831.80 is: 293,056,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,109,831.80 : 293,056,095.40 = 209,109,831.80 : x
  2. Step 2: Convert to fraction form
    209,109,831.80/293,056,095.40 = 209,109,831.80/x
  3. Step 3: Cross multiply
    209,109,831.80x = 293,056,095.40 × 209,109,831.80
  4. Step 4: Simplify right side
    209,109,831.80x = 61,280,910,817,058,752
  5. Step 5: Solve for x
    x = 61,280,910,817,058,752/209,109,831.80
  6. Step 6: Final answer
    x = 293,056,095.40

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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.