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Finding the Fourth Proportional to 645,861,924,000.30, 968,792,886,000.45 and 645,861,924,000.30

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Solution

The fourth proportional to 645,861,924,000.30, 968,792,886,000.45 and 645,861,924,000.30 is: 968,792,886,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,861,924,000.30 : 968,792,886,000.45 = 645,861,924,000.30 : x
  2. Step 2: Convert to fraction form
    645,861,924,000.30/968,792,886,000.45 = 645,861,924,000.30/x
  3. Step 3: Cross multiply
    645,861,924,000.30x = 968,792,886,000.45 × 645,861,924,000.30
  4. Step 4: Simplify right side
    645,861,924,000.30x = 625,706,437,310,054,003,638,272
  5. Step 5: Solve for x
    x = 625,706,437,310,054,003,638,272/645,861,924,000.30
  6. Step 6: Final answer
    x = 968,792,886,000.45

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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.