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Finding the Fourth Proportional to 287,577,206.30, 431,365,809.45 and 287,577,206.30

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Solution

The fourth proportional to 287,577,206.30, 431,365,809.45 and 287,577,206.30 is: 431,365,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,577,206.30 : 431,365,809.45 = 287,577,206.30 : x
  2. Step 2: Convert to fraction form
    287,577,206.30/431,365,809.45 = 287,577,206.30/x
  3. Step 3: Cross multiply
    287,577,206.30x = 431,365,809.45 × 287,577,206.30
  4. Step 4: Simplify right side
    287,577,206.30x = 124,050,974,374,969,136
  5. Step 5: Solve for x
    x = 124,050,974,374,969,136/287,577,206.30
  6. Step 6: Final answer
    x = 431,365,809.45

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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.