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Finding the Fourth Proportional to 6,898,583,606.40, 10,347,875,409.60 and 6,898,583,606.40

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Solution

The fourth proportional to 6,898,583,606.40, 10,347,875,409.60 and 6,898,583,606.40 is: 10,347,875,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,583,606.40 : 10,347,875,409.60 = 6,898,583,606.40 : x
  2. Step 2: Convert to fraction form
    6,898,583,606.40/10,347,875,409.60 = 6,898,583,606.40/x
  3. Step 3: Cross multiply
    6,898,583,606.40x = 10,347,875,409.60 × 6,898,583,606.40
  4. Step 4: Simplify right side
    6,898,583,606.40x = 71,385,683,661,736,247,296
  5. Step 5: Solve for x
    x = 71,385,683,661,736,247,296/6,898,583,606.40
  6. Step 6: Final answer
    x = 10,347,875,409.60

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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.