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Finding the Fourth Proportional to 209,969,160.30, 314,953,740.45 and 209,969,160.30

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Solution

The fourth proportional to 209,969,160.30, 314,953,740.45 and 209,969,160.30 is: 314,953,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969,160.30 : 314,953,740.45 = 209,969,160.30 : x
  2. Step 2: Convert to fraction form
    209,969,160.30/314,953,740.45 = 209,969,160.30/x
  3. Step 3: Cross multiply
    209,969,160.30x = 314,953,740.45 × 209,969,160.30
  4. Step 4: Simplify right side
    209,969,160.30x = 66,130,572,415,630,648
  5. Step 5: Solve for x
    x = 66,130,572,415,630,648/209,969,160.30
  6. Step 6: Final answer
    x = 314,953,740.45

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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.