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Finding the Fourth Proportional to 473,513,931,024.70, 710,270,896,537.05 and 473,513,931,024.70

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Solution

The fourth proportional to 473,513,931,024.70, 710,270,896,537.05 and 473,513,931,024.70 is: 710,270,896,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,513,931,024.70 : 710,270,896,537.05 = 473,513,931,024.70 : x
  2. Step 2: Convert to fraction form
    473,513,931,024.70/710,270,896,537.05 = 473,513,931,024.70/x
  3. Step 3: Cross multiply
    473,513,931,024.70x = 710,270,896,537.05 × 473,513,931,024.70
  4. Step 4: Simplify right side
    473,513,931,024.70x = 336,323,164,311,696,575,561,728
  5. Step 5: Solve for x
    x = 336,323,164,311,696,575,561,728/473,513,931,024.70
  6. Step 6: Final answer
    x = 710,270,896,537.05

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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.