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Finding the Fourth Proportional to 10,684,519,488,057, 16,026,779,232,085 and 10,684,519,488,057

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Solution

The fourth proportional to 10,684,519,488,057, 16,026,779,232,085 and 10,684,519,488,057 is: 16,026,779,232,085.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,519,488,057 : 16,026,779,232,085 = 10,684,519,488,057 : x
  2. Step 2: Convert to fraction form
    10,684,519,488,057/16,026,779,232,085 = 10,684,519,488,057/x
  3. Step 3: Cross multiply
    10,684,519,488,057x = 16,026,779,232,085 × 10,684,519,488,057
  4. Step 4: Simplify right side
    10,684,519,488,057x = 171,238,435,035,999,398,191,431,680
  5. Step 5: Solve for x
    x = 171,238,435,035,999,398,191,431,680/10,684,519,488,057
  6. Step 6: Final answer
    x = 16,026,779,232,085.00

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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.