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Finding the Fourth Proportional to 537,683,460.10, 806,525,190.15 and 537,683,460.10

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Solution

The fourth proportional to 537,683,460.10, 806,525,190.15 and 537,683,460.10 is: 806,525,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,683,460.10 : 806,525,190.15 = 537,683,460.10 : x
  2. Step 2: Convert to fraction form
    537,683,460.10/806,525,190.15 = 537,683,460.10/x
  3. Step 3: Cross multiply
    537,683,460.10x = 806,525,190.15 × 537,683,460.10
  4. Step 4: Simplify right side
    537,683,460.10x = 433,655,254,897,662,464
  5. Step 5: Solve for x
    x = 433,655,254,897,662,464/537,683,460.10
  6. Step 6: Final answer
    x = 806,525,190.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.