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Finding the Fourth Proportional to 97,339,929,565.15, 146,009,894,347.73 and 97,339,929,565.15

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Solution

The fourth proportional to 97,339,929,565.15, 146,009,894,347.73 and 97,339,929,565.15 is: 146,009,894,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,339,929,565.15 : 146,009,894,347.73 = 97,339,929,565.15 : x
  2. Step 2: Convert to fraction form
    97,339,929,565.15/146,009,894,347.73 = 97,339,929,565.15/x
  3. Step 3: Cross multiply
    97,339,929,565.15x = 146,009,894,347.73 × 97,339,929,565.15
  4. Step 4: Simplify right side
    97,339,929,565.15x = 14,212,592,831,623,031,947,264
  5. Step 5: Solve for x
    x = 14,212,592,831,623,031,947,264/97,339,929,565.15
  6. Step 6: Final answer
    x = 146,009,894,347.73

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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.