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Finding the Fourth Proportional to 473,513,931,000.55, 710,270,896,500.80 and 473,513,931,000.55

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Solution

The fourth proportional to 473,513,931,000.55, 710,270,896,500.80 and 473,513,931,000.55 is: 710,270,896,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,513,931,000.55 : 710,270,896,500.80 = 473,513,931,000.55 : x
  2. Step 2: Convert to fraction form
    473,513,931,000.55/710,270,896,500.80 = 473,513,931,000.55/x
  3. Step 3: Cross multiply
    473,513,931,000.55x = 710,270,896,500.80 × 473,513,931,000.55
  4. Step 4: Simplify right side
    473,513,931,000.55x = 336,323,164,277,378,646,016,000
  5. Step 5: Solve for x
    x = 336,323,164,277,378,646,016,000/473,513,931,000.55
  6. Step 6: Final answer
    x = 710,270,896,500.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.