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Finding the Fourth Proportional to 306,585,120.30, 459,877,680.45 and 306,585,120.30

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Solution

The fourth proportional to 306,585,120.30, 459,877,680.45 and 306,585,120.30 is: 459,877,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,585,120.30 : 459,877,680.45 = 306,585,120.30 : x
  2. Step 2: Convert to fraction form
    306,585,120.30/459,877,680.45 = 306,585,120.30/x
  3. Step 3: Cross multiply
    306,585,120.30x = 459,877,680.45 × 306,585,120.30
  4. Step 4: Simplify right side
    306,585,120.30x = 140,991,653,984,048,208
  5. Step 5: Solve for x
    x = 140,991,653,984,048,208/306,585,120.30
  6. Step 6: Final answer
    x = 459,877,680.45

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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.