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Finding the Fourth Proportional to 196,021,411.80, 294,032,117.70 and 196,021,411.80

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Solution

The fourth proportional to 196,021,411.80, 294,032,117.70 and 196,021,411.80 is: 294,032,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,021,411.80 : 294,032,117.70 = 196,021,411.80 : x
  2. Step 2: Convert to fraction form
    196,021,411.80/294,032,117.70 = 196,021,411.80/x
  3. Step 3: Cross multiply
    196,021,411.80x = 294,032,117.70 × 196,021,411.80
  4. Step 4: Simplify right side
    196,021,411.80x = 57,636,590,826,097,768
  5. Step 5: Solve for x
    x = 57,636,590,826,097,768/196,021,411.80
  6. Step 6: Final answer
    x = 294,032,117.70

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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.