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Finding the Fourth Proportional to 5,709,586,514,402.40, 8,564,379,771,603.40 and 5,709,586,514,402.40

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Solution

The fourth proportional to 5,709,586,514,402.40, 8,564,379,771,603.40 and 5,709,586,514,402.40 is: 8,564,379,771,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,586,514,402.40 : 8,564,379,771,603.40 = 5,709,586,514,402.40 : x
  2. Step 2: Convert to fraction form
    5,709,586,514,402.40/8,564,379,771,603.40 = 5,709,586,514,402.40/x
  3. Step 3: Cross multiply
    5,709,586,514,402.40x = 8,564,379,771,603.40 × 5,709,586,514,402.40
  4. Step 4: Simplify right side
    5,709,586,514,402.40x = 48,899,067,248,167,489,038,712,832
  5. Step 5: Solve for x
    x = 48,899,067,248,167,489,038,712,832/5,709,586,514,402.40
  6. Step 6: Final answer
    x = 8,564,379,771,603.40

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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.