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Finding the Fourth Proportional to 477,312,302.80, 670,051,209.20 and 477,312,302.80

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Solution

The fourth proportional to 477,312,302.80, 670,051,209.20 and 477,312,302.80 is: 670,051,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,312,302.80 : 670,051,209.20 = 477,312,302.80 : x
  2. Step 2: Convert to fraction form
    477,312,302.80/670,051,209.20 = 477,312,302.80/x
  3. Step 3: Cross multiply
    477,312,302.80x = 670,051,209.20 × 477,312,302.80
  4. Step 4: Simplify right side
    477,312,302.80x = 319,823,685,657,176,576
  5. Step 5: Solve for x
    x = 319,823,685,657,176,576/477,312,302.80
  6. Step 6: Final answer
    x = 670,051,209.20

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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.