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Finding the Fourth Proportional to 172,817,365,814.51, 259,226,048,721.77 and 172,817,365,814.51

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Solution

The fourth proportional to 172,817,365,814.51, 259,226,048,721.77 and 172,817,365,814.51 is: 259,226,048,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,817,365,814.51 : 259,226,048,721.77 = 172,817,365,814.51 : x
  2. Step 2: Convert to fraction form
    172,817,365,814.51/259,226,048,721.77 = 172,817,365,814.51/x
  3. Step 3: Cross multiply
    172,817,365,814.51x = 259,226,048,721.77 × 172,817,365,814.51
  4. Step 4: Simplify right side
    172,817,365,814.51x = 44,798,762,890,600,122,417,152
  5. Step 5: Solve for x
    x = 44,798,762,890,600,122,417,152/172,817,365,814.51
  6. Step 6: Final answer
    x = 259,226,048,721.77

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1.5x scale

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.