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Finding the Fourth Proportional to 473,513,930,984.80, 710,270,896,477.20 and 473,513,930,984.80

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Solution

The fourth proportional to 473,513,930,984.80, 710,270,896,477.20 and 473,513,930,984.80 is: 710,270,896,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,513,930,984.80 : 710,270,896,477.20 = 473,513,930,984.80 : x
  2. Step 2: Convert to fraction form
    473,513,930,984.80/710,270,896,477.20 = 473,513,930,984.80/x
  3. Step 3: Cross multiply
    473,513,930,984.80x = 710,270,896,477.20 × 473,513,930,984.80
  4. Step 4: Simplify right side
    473,513,930,984.80x = 336,323,164,255,016,898,789,376
  5. Step 5: Solve for x
    x = 336,323,164,255,016,898,789,376/473,513,930,984.80
  6. Step 6: Final answer
    x = 710,270,896,477.20

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Double scale
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1.5x scale

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.