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Finding the Fourth Proportional to 530,200,971,000.10, 795,301,456,500.20 and 530,200,971,000.10

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Solution

The fourth proportional to 530,200,971,000.10, 795,301,456,500.20 and 530,200,971,000.10 is: 795,301,456,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,200,971,000.10 : 795,301,456,500.20 = 530,200,971,000.10 : x
  2. Step 2: Convert to fraction form
    530,200,971,000.10/795,301,456,500.20 = 530,200,971,000.10/x
  3. Step 3: Cross multiply
    530,200,971,000.10x = 795,301,456,500.20 × 530,200,971,000.10
  4. Step 4: Simplify right side
    530,200,971,000.10x = 421,669,604,474,199,792,943,104
  5. Step 5: Solve for x
    x = 421,669,604,474,199,792,943,104/530,200,971,000.10
  6. Step 6: Final answer
    x = 795,301,456,500.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.