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Finding the Fourth Proportional to 98,013,670.80, 147,020,506.20 and 98,013,670.80

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Solution

The fourth proportional to 98,013,670.80, 147,020,506.20 and 98,013,670.80 is: 147,020,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013,670.80 : 147,020,506.20 = 98,013,670.80 : x
  2. Step 2: Convert to fraction form
    98,013,670.80/147,020,506.20 = 98,013,670.80/x
  3. Step 3: Cross multiply
    98,013,670.80x = 147,020,506.20 × 98,013,670.80
  4. Step 4: Simplify right side
    98,013,670.80x = 14,410,019,495,536,158
  5. Step 5: Solve for x
    x = 14,410,019,495,536,158/98,013,670.80
  6. Step 6: Final answer
    x = 147,020,506.20

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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.