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Finding the Fourth Proportional to 403,214,254,000.05, 604,821,381,000.06 and 403,214,254,000.05

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Solution

The fourth proportional to 403,214,254,000.05, 604,821,381,000.06 and 403,214,254,000.05 is: 604,821,381,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,214,254,000.05 : 604,821,381,000.06 = 403,214,254,000.05 : x
  2. Step 2: Convert to fraction form
    403,214,254,000.05/604,821,381,000.06 = 403,214,254,000.05/x
  3. Step 3: Cross multiply
    403,214,254,000.05x = 604,821,381,000.06 × 403,214,254,000.05
  4. Step 4: Simplify right side
    403,214,254,000.05x = 243,872,601,943,219,235,717,120
  5. Step 5: Solve for x
    x = 243,872,601,943,219,235,717,120/403,214,254,000.05
  6. Step 6: Final answer
    x = 604,821,381,000.06

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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.