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Finding the Fourth Proportional to 16,382,817,009.45, 24,574,225,514.40 and 16,382,817,009.45

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Solution

The fourth proportional to 16,382,817,009.45, 24,574,225,514.40 and 16,382,817,009.45 is: 24,574,225,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382,817,009.45 : 24,574,225,514.40 = 16,382,817,009.45 : x
  2. Step 2: Convert to fraction form
    16,382,817,009.45/24,574,225,514.40 = 16,382,817,009.45/x
  3. Step 3: Cross multiply
    16,382,817,009.45x = 24,574,225,514.40 × 16,382,817,009.45
  4. Step 4: Simplify right side
    16,382,817,009.45x = 402,595,039,751,372,537,856
  5. Step 5: Solve for x
    x = 402,595,039,751,372,537,856/16,382,817,009.45
  6. Step 6: Final answer
    x = 24,574,225,514.40

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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.