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Finding the Fourth Proportional to 5,663,043,072,307.70, 8,494,564,608,461.70 and 5,663,043,072,307.70

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Solution

The fourth proportional to 5,663,043,072,307.70, 8,494,564,608,461.70 and 5,663,043,072,307.70 is: 8,494,564,608,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,043,072,307.70 : 8,494,564,608,461.70 = 5,663,043,072,307.70 : x
  2. Step 2: Convert to fraction form
    5,663,043,072,307.70/8,494,564,608,461.70 = 5,663,043,072,307.70/x
  3. Step 3: Cross multiply
    5,663,043,072,307.70x = 8,494,564,608,461.70 × 5,663,043,072,307.70
  4. Step 4: Simplify right side
    5,663,043,072,307.70x = 48,105,085,258,219,201,643,937,792
  5. Step 5: Solve for x
    x = 48,105,085,258,219,201,643,937,792/5,663,043,072,307.70
  6. Step 6: Final answer
    x = 8,494,564,608,461.70

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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.