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Finding the Fourth Proportional to 14,346,466,308,494, 21,519,699,462,738 and 14,346,466,308,494

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Solution

The fourth proportional to 14,346,466,308,494, 21,519,699,462,738 and 14,346,466,308,494 is: 21,519,699,462,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346,466,308,494 : 21,519,699,462,738 = 14,346,466,308,494 : x
  2. Step 2: Convert to fraction form
    14,346,466,308,494/21,519,699,462,738 = 14,346,466,308,494/x
  3. Step 3: Cross multiply
    14,346,466,308,494x = 21,519,699,462,738 × 14,346,466,308,494
  4. Step 4: Simplify right side
    14,346,466,308,494x = 308,731,643,311,087,136,226,148,352
  5. Step 5: Solve for x
    x = 308,731,643,311,087,136,226,148,352/14,346,466,308,494
  6. Step 6: Final answer
    x = 21,519,699,462,738

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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.