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Finding the Fourth Proportional to 209,952,470.70, 314,928,706.06 and 73,588,646.70

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Solution

The fourth proportional to 209,952,470.70, 314,928,706.06 and 73,588,646.70 is: 110,382,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,470.70 : 314,928,706.06 = 73,588,646.70 : x
  2. Step 2: Convert to fraction form
    209,952,470.70/314,928,706.06 = 73,588,646.70/x
  3. Step 3: Cross multiply
    209,952,470.70x = 314,928,706.06 × 73,588,646.70
  4. Step 4: Simplify right side
    209,952,470.70x = 23,175,177,285,937,492
  5. Step 5: Solve for x
    x = 23,175,177,285,937,492/209,952,470.70
  6. Step 6: Final answer
    x = 110,382,970.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.