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Finding the Fourth Proportional to 10,700,676,534.30, 16,051,014,801.45 and 10,700,676,534.30

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Solution

The fourth proportional to 10,700,676,534.30, 16,051,014,801.45 and 10,700,676,534.30 is: 16,051,014,801.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700,676,534.30 : 16,051,014,801.45 = 10,700,676,534.30 : x
  2. Step 2: Convert to fraction form
    10,700,676,534.30/16,051,014,801.45 = 10,700,676,534.30/x
  3. Step 3: Cross multiply
    10,700,676,534.30x = 16,051,014,801.45 × 10,700,676,534.30
  4. Step 4: Simplify right side
    10,700,676,534.30x = 171,756,717,437,577,986,048
  5. Step 5: Solve for x
    x = 171,756,717,437,577,986,048/10,700,676,534.30
  6. Step 6: Final answer
    x = 16,051,014,801.45

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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.