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Finding the Fourth Proportional to 209,952,026.93, 314,928,040.40 and 209,952,026.93

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Solution

The fourth proportional to 209,952,026.93, 314,928,040.40 and 209,952,026.93 is: 314,928,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,026.93 : 314,928,040.40 = 209,952,026.93 : x
  2. Step 2: Convert to fraction form
    209,952,026.93/314,928,040.40 = 209,952,026.93/x
  3. Step 3: Cross multiply
    209,952,026.93x = 314,928,040.40 × 209,952,026.93
  4. Step 4: Simplify right side
    209,952,026.93x = 66,119,780,416,448,528
  5. Step 5: Solve for x
    x = 66,119,780,416,448,528/209,952,026.93
  6. Step 6: Final answer
    x = 314,928,040.40

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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.