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Finding the Fourth Proportional to 17,103,314,708.40, 23,977,292,326.80 and 17,103,314,708.40

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Solution

The fourth proportional to 17,103,314,708.40, 23,977,292,326.80 and 17,103,314,708.40 is: 23,977,292,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103,314,708.40 : 23,977,292,326.80 = 17,103,314,708.40 : x
  2. Step 2: Convert to fraction form
    17,103,314,708.40/23,977,292,326.80 = 17,103,314,708.40/x
  3. Step 3: Cross multiply
    17,103,314,708.40x = 23,977,292,326.80 × 17,103,314,708.40
  4. Step 4: Simplify right side
    17,103,314,708.40x = 410,091,176,520,564,867,072
  5. Step 5: Solve for x
    x = 410,091,176,520,564,867,072/17,103,314,708.40
  6. Step 6: Final answer
    x = 23,977,292,326.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.