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Finding the Fourth Proportional to 10,684,519,488,045, 16,026,779,232,068 and 10,684,519,488,045

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Solution

The fourth proportional to 10,684,519,488,045, 16,026,779,232,068 and 10,684,519,488,045 is: 16,026,779,232,068

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,519,488,045 : 16,026,779,232,068 = 10,684,519,488,045 : x
  2. Step 2: Convert to fraction form
    10,684,519,488,045/16,026,779,232,068 = 10,684,519,488,045/x
  3. Step 3: Cross multiply
    10,684,519,488,045x = 16,026,779,232,068 × 10,684,519,488,045
  4. Step 4: Simplify right side
    10,684,519,488,045x = 171,238,435,035,625,426,799,034,368
  5. Step 5: Solve for x
    x = 171,238,435,035,625,426,799,034,368/10,684,519,488,045
  6. Step 6: Final answer
    x = 16,026,779,232,068

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.