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Finding the Fourth Proportional to 193,734,909,009.70, 290,602,363,514.55 and 193,734,909,009.70

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Solution

The fourth proportional to 193,734,909,009.70, 290,602,363,514.55 and 193,734,909,009.70 is: 290,602,363,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,734,909,009.70 : 290,602,363,514.55 = 193,734,909,009.70 : x
  2. Step 2: Convert to fraction form
    193,734,909,009.70/290,602,363,514.55 = 193,734,909,009.70/x
  3. Step 3: Cross multiply
    193,734,909,009.70x = 290,602,363,514.55 × 193,734,909,009.70
  4. Step 4: Simplify right side
    193,734,909,009.70x = 56,299,822,453,495,108,206,592
  5. Step 5: Solve for x
    x = 56,299,822,453,495,108,206,592/193,734,909,009.70
  6. Step 6: Final answer
    x = 290,602,363,514.55

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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.