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Finding the Fourth Proportional to 201,366,205.40, 282,677,962.60 and 201,366,205.40

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Solution

The fourth proportional to 201,366,205.40, 282,677,962.60 and 201,366,205.40 is: 282,677,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,366,205.40 : 282,677,962.60 = 201,366,205.40 : x
  2. Step 2: Convert to fraction form
    201,366,205.40/282,677,962.60 = 201,366,205.40/x
  3. Step 3: Cross multiply
    201,366,205.40x = 282,677,962.60 × 201,366,205.40
  4. Step 4: Simplify right side
    201,366,205.40x = 56,921,788,678,965,128
  5. Step 5: Solve for x
    x = 56,921,788,678,965,128/201,366,205.40
  6. Step 6: Final answer
    x = 282,677,962.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.