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Finding the Fourth Proportional to 29,897,798,068.40, 44,846,697,102.60 and 29,897,798,068.40

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Solution

The fourth proportional to 29,897,798,068.40, 44,846,697,102.60 and 29,897,798,068.40 is: 44,846,697,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,897,798,068.40 : 44,846,697,102.60 = 29,897,798,068.40 : x
  2. Step 2: Convert to fraction form
    29,897,798,068.40/44,846,697,102.60 = 29,897,798,068.40/x
  3. Step 3: Cross multiply
    29,897,798,068.40x = 44,846,697,102.60 × 29,897,798,068.40
  4. Step 4: Simplify right side
    29,897,798,068.40x = 1,340,817,494,008,234,246,144
  5. Step 5: Solve for x
    x = 1,340,817,494,008,234,246,144/29,897,798,068.40
  6. Step 6: Final answer
    x = 44,846,697,102.60

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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.