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Finding the Fourth Proportional to 460,584,698.20, 689,869,277.70 and 400,118,522.20

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Solution

The fourth proportional to 460,584,698.20, 689,869,277.70 and 400,118,522.20 is: 599,302,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,584,698.20 : 689,869,277.70 = 400,118,522.20 : x
  2. Step 2: Convert to fraction form
    460,584,698.20/689,869,277.70 = 400,118,522.20/x
  3. Step 3: Cross multiply
    460,584,698.20x = 689,869,277.70 × 400,118,522.20
  4. Step 4: Simplify right side
    460,584,698.20x = 276,029,475,904,505,440
  5. Step 5: Solve for x
    x = 276,029,475,904,505,440/460,584,698.20
  6. Step 6: Final answer
    x = 599,302,315.04

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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.