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Finding the Fourth Proportional to 586,804,531.10, 880,206,796.65 and 380,180,270.30

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Solution

The fourth proportional to 586,804,531.10, 880,206,796.65 and 380,180,270.30 is: 570,270,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,804,531.10 : 880,206,796.65 = 380,180,270.30 : x
  2. Step 2: Convert to fraction form
    586,804,531.10/880,206,796.65 = 380,180,270.30/x
  3. Step 3: Cross multiply
    586,804,531.10x = 880,206,796.65 × 380,180,270.30
  4. Step 4: Simplify right side
    586,804,531.10x = 334,637,257,870,294,144
  5. Step 5: Solve for x
    x = 334,637,257,870,294,144/586,804,531.10
  6. Step 6: Final answer
    x = 570,270,405.45

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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.