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Finding the Fourth Proportional to 6,683,030,608,959.60, 10,024,545,913,440 and 6,683,030,608,959.60

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Solution

The fourth proportional to 6,683,030,608,959.60, 10,024,545,913,440 and 6,683,030,608,959.60 is: 10,024,545,913,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,030,608,959.60 : 10,024,545,913,440 = 6,683,030,608,959.60 : x
  2. Step 2: Convert to fraction form
    6,683,030,608,959.60/10,024,545,913,440 = 6,683,030,608,959.60/x
  3. Step 3: Cross multiply
    6,683,030,608,959.60x = 10,024,545,913,440 × 6,683,030,608,959.60
  4. Step 4: Simplify right side
    6,683,030,608,959.60x = 66,994,347,180,440,390,186,565,632
  5. Step 5: Solve for x
    x = 66,994,347,180,440,390,186,565,632/6,683,030,608,959.60
  6. Step 6: Final answer
    x = 10,024,545,913,440

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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.