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Finding the Fourth Proportional to 570,297,492,095.05, 855,446,238,142.55 and 570,297,492,095.05

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Solution

The fourth proportional to 570,297,492,095.05, 855,446,238,142.55 and 570,297,492,095.05 is: 855,446,238,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,297,492,095.05 : 855,446,238,142.55 = 570,297,492,095.05 : x
  2. Step 2: Convert to fraction form
    570,297,492,095.05/855,446,238,142.55 = 570,297,492,095.05/x
  3. Step 3: Cross multiply
    570,297,492,095.05x = 855,446,238,142.55 × 570,297,492,095.05
  4. Step 4: Simplify right side
    570,297,492,095.05x = 487,858,844,234,841,262,653,440
  5. Step 5: Solve for x
    x = 487,858,844,234,841,262,653,440/570,297,492,095.05
  6. Step 6: Final answer
    x = 855,446,238,142.55

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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.