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Finding the Fourth Proportional to 10,091,584,953.60, 15,137,377,430.40 and 10,091,584,953.60

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Solution

The fourth proportional to 10,091,584,953.60, 15,137,377,430.40 and 10,091,584,953.60 is: 15,137,377,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091,584,953.60 : 15,137,377,430.40 = 10,091,584,953.60 : x
  2. Step 2: Convert to fraction form
    10,091,584,953.60/15,137,377,430.40 = 10,091,584,953.60/x
  3. Step 3: Cross multiply
    10,091,584,953.60x = 15,137,377,430.40 × 10,091,584,953.60
  4. Step 4: Simplify right side
    10,091,584,953.60x = 152,760,130,313,588,867,072
  5. Step 5: Solve for x
    x = 152,760,130,313,588,867,072/10,091,584,953.60
  6. Step 6: Final answer
    x = 15,137,377,430.40

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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.