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Finding the Fourth Proportional to 360,354,992.91, 497,258,948.46 and 209,675,526.18

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Solution

The fourth proportional to 360,354,992.91, 497,258,948.46 and 209,675,526.18 is: 289,334,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,354,992.91 : 497,258,948.46 = 209,675,526.18 : x
  2. Step 2: Convert to fraction form
    360,354,992.91/497,258,948.46 = 209,675,526.18/x
  3. Step 3: Cross multiply
    360,354,992.91x = 497,258,948.46 × 209,675,526.18
  4. Step 4: Simplify right side
    360,354,992.91x = 104,263,031,666,064,000
  5. Step 5: Solve for x
    x = 104,263,031,666,064,000/360,354,992.91
  6. Step 6: Final answer
    x = 289,334,222.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.