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Finding the Fourth Proportional to 229,217,502,602.30, 343,826,253,903.45 and 229,217,502,602.30

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Solution

The fourth proportional to 229,217,502,602.30, 343,826,253,903.45 and 229,217,502,602.30 is: 343,826,253,903.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,217,502,602.30 : 343,826,253,903.45 = 229,217,502,602.30 : x
  2. Step 2: Convert to fraction form
    229,217,502,602.30/343,826,253,903.45 = 229,217,502,602.30/x
  3. Step 3: Cross multiply
    229,217,502,602.30x = 343,826,253,903.45 × 229,217,502,602.30
  4. Step 4: Simplify right side
    229,217,502,602.30x = 78,810,995,248,853,111,799,808
  5. Step 5: Solve for x
    x = 78,810,995,248,853,111,799,808/229,217,502,602.30
  6. Step 6: Final answer
    x = 343,826,253,903.45

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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.