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Finding the Fourth Proportional to 209,952,261.30, 294,235,496.70 and 209,952,261.30

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Solution

The fourth proportional to 209,952,261.30, 294,235,496.70 and 209,952,261.30 is: 294,235,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,261.30 : 294,235,496.70 = 209,952,261.30 : x
  2. Step 2: Convert to fraction form
    209,952,261.30/294,235,496.70 = 209,952,261.30/x
  3. Step 3: Cross multiply
    209,952,261.30x = 294,235,496.70 × 209,952,261.30
  4. Step 4: Simplify right side
    209,952,261.30x = 61,775,407,886,893,688
  5. Step 5: Solve for x
    x = 61,775,407,886,893,688/209,952,261.30
  6. Step 6: Final answer
    x = 294,235,496.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.