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Finding the Fourth Proportional to 64,706,688,017.70, 90,850,577,105.10 and 64,706,688,017.70

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Solution

The fourth proportional to 64,706,688,017.70, 90,850,577,105.10 and 64,706,688,017.70 is: 90,850,577,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,706,688,017.70 : 90,850,577,105.10 = 64,706,688,017.70 : x
  2. Step 2: Convert to fraction form
    64,706,688,017.70/90,850,577,105.10 = 64,706,688,017.70/x
  3. Step 3: Cross multiply
    64,706,688,017.70x = 90,850,577,105.10 × 64,706,688,017.70
  4. Step 4: Simplify right side
    64,706,688,017.70x = 5,878,639,948,967,704,526,848
  5. Step 5: Solve for x
    x = 5,878,639,948,967,704,526,848/64,706,688,017.70
  6. Step 6: Final answer
    x = 90,850,577,105.10

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