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Finding the Fourth Proportional to 966,006,030.35, 1,449,009,045.53 and 966,006,030.35

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Solution

The fourth proportional to 966,006,030.35, 1,449,009,045.53 and 966,006,030.35 is: 1,449,009,045.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,006,030.35 : 1,449,009,045.53 = 966,006,030.35 : x
  2. Step 2: Convert to fraction form
    966,006,030.35/1,449,009,045.53 = 966,006,030.35/x
  3. Step 3: Cross multiply
    966,006,030.35x = 1,449,009,045.53 × 966,006,030.35
  4. Step 4: Simplify right side
    966,006,030.35x = 1,399,751,476,013,677,824
  5. Step 5: Solve for x
    x = 1,399,751,476,013,677,824/966,006,030.35
  6. Step 6: Final answer
    x = 1,449,009,045.53

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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.