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Finding the Fourth Proportional to 334,282,463,999.10, 501,423,695,998.65 and 334,282,463,999.10

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Solution

The fourth proportional to 334,282,463,999.10, 501,423,695,998.65 and 334,282,463,999.10 is: 501,423,695,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,282,463,999.10 : 501,423,695,998.65 = 334,282,463,999.10 : x
  2. Step 2: Convert to fraction form
    334,282,463,999.10/501,423,695,998.65 = 334,282,463,999.10/x
  3. Step 3: Cross multiply
    334,282,463,999.10x = 501,423,695,998.65 × 334,282,463,999.10
  4. Step 4: Simplify right side
    334,282,463,999.10x = 167,617,148,605,964,367,167,488
  5. Step 5: Solve for x
    x = 167,617,148,605,964,367,167,488/334,282,463,999.10
  6. Step 6: Final answer
    x = 501,423,695,998.65

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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.