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Finding the Fourth Proportional to 927,148,043,408.90, 1,390,722,065,113.40 and 927,148,043,408.90

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Solution

The fourth proportional to 927,148,043,408.90, 1,390,722,065,113.40 and 927,148,043,408.90 is: 1,390,722,065,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,148,043,408.90 : 1,390,722,065,113.40 = 927,148,043,408.90 : x
  2. Step 2: Convert to fraction form
    927,148,043,408.90/1,390,722,065,113.40 = 927,148,043,408.90/x
  3. Step 3: Cross multiply
    927,148,043,408.90x = 1,390,722,065,113.40 × 927,148,043,408.90
  4. Step 4: Simplify right side
    927,148,043,408.90x = 1,289,405,241,595,473,531,240,448
  5. Step 5: Solve for x
    x = 1,289,405,241,595,473,531,240,448/927,148,043,408.90
  6. Step 6: Final answer
    x = 1,390,722,065,113.40

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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.