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Finding the Fourth Proportional to 45,252,319,323.15, 67,878,478,984.73 and 45,252,319,323.15

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Solution

The fourth proportional to 45,252,319,323.15, 67,878,478,984.73 and 45,252,319,323.15 is: 67,878,478,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252,319,323.15 : 67,878,478,984.73 = 45,252,319,323.15 : x
  2. Step 2: Convert to fraction form
    45,252,319,323.15/67,878,478,984.73 = 45,252,319,323.15/x
  3. Step 3: Cross multiply
    45,252,319,323.15x = 67,878,478,984.73 × 45,252,319,323.15
  4. Step 4: Simplify right side
    45,252,319,323.15x = 3,071,658,606,186,502,553,600
  5. Step 5: Solve for x
    x = 3,071,658,606,186,502,553,600/45,252,319,323.15
  6. Step 6: Final answer
    x = 67,878,478,984.73

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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.