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Finding the Fourth Proportional to 306,984,094.84, 460,714,929.36 and 214,265,494

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Solution

The fourth proportional to 306,984,094.84, 460,714,929.36 and 214,265,494 is: 321,564,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,984,094.84 : 460,714,929.36 = 214,265,494 : x
  2. Step 2: Convert to fraction form
    306,984,094.84/460,714,929.36 = 214,265,494/x
  3. Step 3: Cross multiply
    306,984,094.84x = 460,714,929.36 × 214,265,494
  4. Step 4: Simplify right side
    306,984,094.84x = 98,715,311,932,495,504
  5. Step 5: Solve for x
    x = 98,715,311,932,495,504/306,984,094.84
  6. Step 6: Final answer
    x = 321,564,907.08

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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.