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Finding the Fourth Proportional to 301,808,000.10, 452,712,000.15 and 164,058,492.90

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Solution

The fourth proportional to 301,808,000.10, 452,712,000.15 and 164,058,492.90 is: 246,087,739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,808,000.10 : 452,712,000.15 = 164,058,492.90 : x
  2. Step 2: Convert to fraction form
    301,808,000.10/452,712,000.15 = 164,058,492.90/x
  3. Step 3: Cross multiply
    301,808,000.10x = 452,712,000.15 × 164,058,492.90
  4. Step 4: Simplify right side
    301,808,000.10x = 74,271,248,462,353,568
  5. Step 5: Solve for x
    x = 74,271,248,462,353,568/301,808,000.10
  6. Step 6: Final answer
    x = 246,087,739.35

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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.