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Finding the Fourth Proportional to 150,153,042.30, 210,516,590.10 and 150,153,042.30

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Solution

The fourth proportional to 150,153,042.30, 210,516,590.10 and 150,153,042.30 is: 210,516,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,153,042.30 : 210,516,590.10 = 150,153,042.30 : x
  2. Step 2: Convert to fraction form
    150,153,042.30/210,516,590.10 = 150,153,042.30/x
  3. Step 3: Cross multiply
    150,153,042.30x = 210,516,590.10 × 150,153,042.30
  4. Step 4: Simplify right side
    150,153,042.30x = 31,609,706,458,137,064
  5. Step 5: Solve for x
    x = 31,609,706,458,137,064/150,153,042.30
  6. Step 6: Final answer
    x = 210,516,590.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.