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Finding the Fourth Proportional to 293,355,432,000.30, 440,033,148,000.45 and 293,355,432,000.30

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Solution

The fourth proportional to 293,355,432,000.30, 440,033,148,000.45 and 293,355,432,000.30 is: 440,033,148,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,355,432,000.30 : 440,033,148,000.45 = 293,355,432,000.30 : x
  2. Step 2: Convert to fraction form
    293,355,432,000.30/440,033,148,000.45 = 293,355,432,000.30/x
  3. Step 3: Cross multiply
    293,355,432,000.30x = 440,033,148,000.45 × 293,355,432,000.30
  4. Step 4: Simplify right side
    293,355,432,000.30x = 129,086,114,226,123,961,270,272
  5. Step 5: Solve for x
    x = 129,086,114,226,123,961,270,272/293,355,432,000.30
  6. Step 6: Final answer
    x = 440,033,148,000.45

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1.5x scale

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.