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Finding the Fourth Proportional to 612,106,315.80, 858,762,827.40 and 612,106,315.80

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Solution

The fourth proportional to 612,106,315.80, 858,762,827.40 and 612,106,315.80 is: 858,762,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,106,315.80 : 858,762,827.40 = 612,106,315.80 : x
  2. Step 2: Convert to fraction form
    612,106,315.80/858,762,827.40 = 612,106,315.80/x
  3. Step 3: Cross multiply
    612,106,315.80x = 858,762,827.40 × 612,106,315.80
  4. Step 4: Simplify right side
    612,106,315.80x = 525,654,150,425,805,248
  5. Step 5: Solve for x
    x = 525,654,150,425,805,248/612,106,315.80
  6. Step 6: Final answer
    x = 858,762,827.40

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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.