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Finding the Fourth Proportional to 14,486,886,175.05, 21,730,329,262.58 and 14,486,886,175.05

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Solution

The fourth proportional to 14,486,886,175.05, 21,730,329,262.58 and 14,486,886,175.05 is: 21,730,329,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486,886,175.05 : 21,730,329,262.58 = 14,486,886,175.05 : x
  2. Step 2: Convert to fraction form
    14,486,886,175.05/21,730,329,262.58 = 14,486,886,175.05/x
  3. Step 3: Cross multiply
    14,486,886,175.05x = 21,730,329,262.58 × 14,486,886,175.05
  4. Step 4: Simplify right side
    14,486,886,175.05x = 314,804,806,573,282,230,272
  5. Step 5: Solve for x
    x = 314,804,806,573,282,230,272/14,486,886,175.05
  6. Step 6: Final answer
    x = 21,730,329,262.58

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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.