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Finding the Fourth Proportional to 474,919,968,000.45, 712,379,952,000.70 and 474,919,968,000.45

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Solution

The fourth proportional to 474,919,968,000.45, 712,379,952,000.70 and 474,919,968,000.45 is: 712,379,952,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,919,968,000.45 : 712,379,952,000.70 = 474,919,968,000.45 : x
  2. Step 2: Convert to fraction form
    474,919,968,000.45/712,379,952,000.70 = 474,919,968,000.45/x
  3. Step 3: Cross multiply
    474,919,968,000.45x = 712,379,952,000.70 × 474,919,968,000.45
  4. Step 4: Simplify right side
    474,919,968,000.45x = 338,323,464,008,334,548,402,176
  5. Step 5: Solve for x
    x = 338,323,464,008,334,548,402,176/474,919,968,000.45
  6. Step 6: Final answer
    x = 712,379,952,000.70

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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.