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Finding the Fourth Proportional to 537,144,447.60, 805,716,671.40 and 537,144,447.60

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Solution

The fourth proportional to 537,144,447.60, 805,716,671.40 and 537,144,447.60 is: 805,716,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,144,447.60 : 805,716,671.40 = 537,144,447.60 : x
  2. Step 2: Convert to fraction form
    537,144,447.60/805,716,671.40 = 537,144,447.60/x
  3. Step 3: Cross multiply
    537,144,447.60x = 805,716,671.40 × 537,144,447.60
  4. Step 4: Simplify right side
    537,144,447.60x = 432,786,236,381,263,744
  5. Step 5: Solve for x
    x = 432,786,236,381,263,744/537,144,447.60
  6. Step 6: Final answer
    x = 805,716,671.40

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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.