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Finding the Fourth Proportional to 646,866,000.30, 970,299,000.45 and 302,492,232.30

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Solution

The fourth proportional to 646,866,000.30, 970,299,000.45 and 302,492,232.30 is: 453,738,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,866,000.30 : 970,299,000.45 = 302,492,232.30 : x
  2. Step 2: Convert to fraction form
    646,866,000.30/970,299,000.45 = 302,492,232.30/x
  3. Step 3: Cross multiply
    646,866,000.30x = 970,299,000.45 × 302,492,232.30
  4. Step 4: Simplify right side
    646,866,000.30x = 293,507,910,644,579,200
  5. Step 5: Solve for x
    x = 293,507,910,644,579,200/646,866,000.30
  6. Step 6: Final answer
    x = 453,738,348.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.