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Finding the Fourth Proportional to 586,841,794.80, 880,262,692.20 and 314,744,002.80

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Solution

The fourth proportional to 586,841,794.80, 880,262,692.20 and 314,744,002.80 is: 472,116,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,841,794.80 : 880,262,692.20 = 314,744,002.80 : x
  2. Step 2: Convert to fraction form
    586,841,794.80/880,262,692.20 = 314,744,002.80/x
  3. Step 3: Cross multiply
    586,841,794.80x = 880,262,692.20 × 314,744,002.80
  4. Step 4: Simplify right side
    586,841,794.80x = 277,057,403,258,532,352
  5. Step 5: Solve for x
    x = 277,057,403,258,532,352/586,841,794.80
  6. Step 6: Final answer
    x = 472,116,004.20

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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.