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Finding the Fourth Proportional to 16,139,774,621,376, 24,209,661,932,066 and 16,139,774,621,376

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Solution

The fourth proportional to 16,139,774,621,376, 24,209,661,932,066 and 16,139,774,621,376 is: 24,209,661,932,066

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139,774,621,376 : 24,209,661,932,066 = 16,139,774,621,376 : x
  2. Step 2: Convert to fraction form
    16,139,774,621,376/24,209,661,932,066 = 16,139,774,621,376/x
  3. Step 3: Cross multiply
    16,139,774,621,376x = 24,209,661,932,066 × 16,139,774,621,376
  4. Step 4: Simplify right side
    16,139,774,621,376x = 390,738,487,243,251,475,051,184,128
  5. Step 5: Solve for x
    x = 390,738,487,243,251,475,051,184,128/16,139,774,621,376
  6. Step 6: Final answer
    x = 24,209,661,932,066

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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.