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Finding the Fourth Proportional to 978,432,405.10, 1,467,648,607.65 and 903,605,512.30

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Solution

The fourth proportional to 978,432,405.10, 1,467,648,607.65 and 903,605,512.30 is: 1,355,408,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,432,405.10 : 1,467,648,607.65 = 903,605,512.30 : x
  2. Step 2: Convert to fraction form
    978,432,405.10/1,467,648,607.65 = 903,605,512.30/x
  3. Step 3: Cross multiply
    978,432,405.10x = 1,467,648,607.65 × 903,605,512.30
  4. Step 4: Simplify right side
    978,432,405.10x = 1,326,175,371,991,960,064
  5. Step 5: Solve for x
    x = 1,326,175,371,991,960,064/978,432,405.10
  6. Step 6: Final answer
    x = 1,355,408,268.45

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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.