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Finding the Fourth Proportional to 153,792,006.10, 214,905,700.70 and 153,792,006.10

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Solution

The fourth proportional to 153,792,006.10, 214,905,700.70 and 153,792,006.10 is: 214,905,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,792,006.10 : 214,905,700.70 = 153,792,006.10 : x
  2. Step 2: Convert to fraction form
    153,792,006.10/214,905,700.70 = 153,792,006.10/x
  3. Step 3: Cross multiply
    153,792,006.10x = 214,905,700.70 × 153,792,006.10
  4. Step 4: Simplify right side
    153,792,006.10x = 33,050,778,832,979,172
  5. Step 5: Solve for x
    x = 33,050,778,832,979,172/153,792,006.10
  6. Step 6: Final answer
    x = 214,905,700.70

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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.