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Finding the Fourth Proportional to 524,382,151, 786,611,017.88 and 201,266,023

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Solution

The fourth proportional to 524,382,151, 786,611,017.88 and 201,266,023 is: 301,913,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,382,151 : 786,611,017.88 = 201,266,023 : x
  2. Step 2: Convert to fraction form
    524,382,151/786,611,017.88 = 201,266,023/x
  3. Step 3: Cross multiply
    524,382,151x = 786,611,017.88 × 201,266,023
  4. Step 4: Simplify right side
    524,382,151x = 158,318,071,216,689,504
  5. Step 5: Solve for x
    x = 158,318,071,216,689,504/524,382,151
  6. Step 6: Final answer
    x = 301,913,539.42

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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.