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Finding the Fourth Proportional to 580,294,460.40, 869,874,820.20 and 519,072,457.20

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Solution

The fourth proportional to 580,294,460.40, 869,874,820.20 and 519,072,457.20 is: 778,101,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,294,460.40 : 869,874,820.20 = 519,072,457.20 : x
  2. Step 2: Convert to fraction form
    580,294,460.40/869,874,820.20 = 519,072,457.20/x
  3. Step 3: Cross multiply
    580,294,460.40x = 869,874,820.20 × 519,072,457.20
  4. Step 4: Simplify right side
    580,294,460.40x = 451,528,060,377,622,208
  5. Step 5: Solve for x
    x = 451,528,060,377,622,208/580,294,460.40
  6. Step 6: Final answer
    x = 778,101,621.14

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Why These Related Problems?

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