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Finding the Fourth Proportional to 213,124,559.70, 319,686,851.70 and 51,566,495.70

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Solution

The fourth proportional to 213,124,559.70, 319,686,851.70 and 51,566,495.70 is: 77,349,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,124,559.70 : 319,686,851.70 = 51,566,495.70 : x
  2. Step 2: Convert to fraction form
    213,124,559.70/319,686,851.70 = 51,566,495.70/x
  3. Step 3: Cross multiply
    213,124,559.70x = 319,686,851.70 × 51,566,495.70
  4. Step 4: Simplify right side
    213,124,559.70x = 16,485,130,663,534,588
  5. Step 5: Solve for x
    x = 16,485,130,663,534,588/213,124,559.70
  6. Step 6: Final answer
    x = 77,349,746.49

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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.