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Finding the Fourth Proportional to 14,346,466,308,045, 21,519,699,462,068 and 14,346,466,308,045

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Solution

The fourth proportional to 14,346,466,308,045, 21,519,699,462,068 and 14,346,466,308,045 is: 21,519,699,462,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346,466,308,045 : 21,519,699,462,068 = 14,346,466,308,045 : x
  2. Step 2: Convert to fraction form
    14,346,466,308,045/21,519,699,462,068 = 14,346,466,308,045/x
  3. Step 3: Cross multiply
    14,346,466,308,045x = 21,519,699,462,068 × 14,346,466,308,045
  4. Step 4: Simplify right side
    14,346,466,308,045x = 308,731,643,291,812,663,031,496,704
  5. Step 5: Solve for x
    x = 308,731,643,291,812,663,031,496,704/14,346,466,308,045
  6. Step 6: Final answer
    x = 21,519,699,462,068

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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.