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Finding the Fourth Proportional to 473,892,598.47, 710,914,628.03 and 146,291,108.43

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Solution

The fourth proportional to 473,892,598.47, 710,914,628.03 and 146,291,108.43 is: 219,460,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,892,598.47 : 710,914,628.03 = 146,291,108.43 : x
  2. Step 2: Convert to fraction form
    473,892,598.47/710,914,628.03 = 146,291,108.43/x
  3. Step 3: Cross multiply
    473,892,598.47x = 710,914,628.03 × 146,291,108.43
  4. Step 4: Simplify right side
    473,892,598.47x = 104,000,488,932,878,400
  5. Step 5: Solve for x
    x = 104,000,488,932,878,400/473,892,598.47
  6. Step 6: Final answer
    x = 219,460,040.67

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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.