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Finding the Fourth Proportional to 1,013,975,506.56, 1,518,343,813.60 and 699,810,948.52

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Solution

The fourth proportional to 1,013,975,506.56, 1,518,343,813.60 and 699,810,948.52 is: 1,047,908,571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013,975,506.56 : 1,518,343,813.60 = 699,810,948.52 : x
  2. Step 2: Convert to fraction form
    1,013,975,506.56/1,518,343,813.60 = 699,810,948.52/x
  3. Step 3: Cross multiply
    1,013,975,506.56x = 1,518,343,813.60 × 699,810,948.52
  4. Step 4: Simplify right side
    1,013,975,506.56x = 1,062,553,624,374,889,984
  5. Step 5: Solve for x
    x = 1,062,553,624,374,889,984/1,013,975,506.56
  6. Step 6: Final answer
    x = 1,047,908,571.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.