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Finding the Fourth Proportional to 209,968,205.68, 314,952,308.51 and 209,968,205.68

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Solution

The fourth proportional to 209,968,205.68, 314,952,308.51 and 209,968,205.68 is: 314,952,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968,205.68 : 314,952,308.51 = 209,968,205.68 : x
  2. Step 2: Convert to fraction form
    209,968,205.68/314,952,308.51 = 209,968,205.68/x
  3. Step 3: Cross multiply
    209,968,205.68x = 314,952,308.51 × 209,968,205.68
  4. Step 4: Simplify right side
    209,968,205.68x = 66,129,971,092,618,496
  5. Step 5: Solve for x
    x = 66,129,971,092,618,496/209,968,205.68
  6. Step 6: Final answer
    x = 314,952,308.51

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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.