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Finding the Fourth Proportional to 209,975,999.40, 314,963,999.10 and 209,975,999.40

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Solution

The fourth proportional to 209,975,999.40, 314,963,999.10 and 209,975,999.40 is: 314,963,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,975,999.40 : 314,963,999.10 = 209,975,999.40 : x
  2. Step 2: Convert to fraction form
    209,975,999.40/314,963,999.10 = 209,975,999.40/x
  3. Step 3: Cross multiply
    209,975,999.40x = 314,963,999.10 × 209,975,999.40
  4. Step 4: Simplify right side
    209,975,999.40x = 66,134,880,486,043,208
  5. Step 5: Solve for x
    x = 66,134,880,486,043,208/209,975,999.40
  6. Step 6: Final answer
    x = 314,963,999.10

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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.