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Finding the Fourth Proportional to 580,608,077.60, 870,912,116.40 and 512,583,629.60

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Solution

The fourth proportional to 580,608,077.60, 870,912,116.40 and 512,583,629.60 is: 768,875,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,608,077.60 : 870,912,116.40 = 512,583,629.60 : x
  2. Step 2: Convert to fraction form
    580,608,077.60/870,912,116.40 = 512,583,629.60/x
  3. Step 3: Cross multiply
    580,608,077.60x = 870,912,116.40 × 512,583,629.60
  4. Step 4: Simplify right side
    580,608,077.60x = 446,415,293,686,929,664
  5. Step 5: Solve for x
    x = 446,415,293,686,929,664/580,608,077.60
  6. Step 6: Final answer
    x = 768,875,444.40

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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.