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Finding the Fourth Proportional to 204,471,977,801.40, 306,707,966,702.10 and 204,471,977,801.40

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Solution

The fourth proportional to 204,471,977,801.40, 306,707,966,702.10 and 204,471,977,801.40 is: 306,707,966,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,471,977,801.40 : 306,707,966,702.10 = 204,471,977,801.40 : x
  2. Step 2: Convert to fraction form
    204,471,977,801.40/306,707,966,702.10 = 204,471,977,801.40/x
  3. Step 3: Cross multiply
    204,471,977,801.40x = 306,707,966,702.10 × 204,471,977,801.40
  4. Step 4: Simplify right side
    204,471,977,801.40x = 62,713,184,559,024,312,418,304
  5. Step 5: Solve for x
    x = 62,713,184,559,024,312,418,304/204,471,977,801.40
  6. Step 6: Final answer
    x = 306,707,966,702.10

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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.