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Finding the Fourth Proportional to 616,010,152, 850,094,009.80 and 355,249,768

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Solution

The fourth proportional to 616,010,152, 850,094,009.80 and 355,249,768 is: 490,244,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,010,152 : 850,094,009.80 = 355,249,768 : x
  2. Step 2: Convert to fraction form
    616,010,152/850,094,009.80 = 355,249,768/x
  3. Step 3: Cross multiply
    616,010,152x = 850,094,009.80 × 355,249,768
  4. Step 4: Simplify right side
    616,010,152x = 301,995,699,759,639,680
  5. Step 5: Solve for x
    x = 301,995,699,759,639,680/616,010,152
  6. Step 6: Final answer
    x = 490,244,679.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.