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Finding the Fourth Proportional to 537,666,257.60, 806,499,386.40 and 537,666,257.60

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Solution

The fourth proportional to 537,666,257.60, 806,499,386.40 and 537,666,257.60 is: 806,499,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,666,257.60 : 806,499,386.40 = 537,666,257.60 : x
  2. Step 2: Convert to fraction form
    537,666,257.60/806,499,386.40 = 537,666,257.60/x
  3. Step 3: Cross multiply
    537,666,257.60x = 806,499,386.40 × 537,666,257.60
  4. Step 4: Simplify right side
    537,666,257.60x = 433,627,506,842,384,320
  5. Step 5: Solve for x
    x = 433,627,506,842,384,320/537,666,257.60
  6. Step 6: Final answer
    x = 806,499,386.40

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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.