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Finding the Fourth Proportional to 245,670,725,098.05, 368,506,087,647.07 and 245,670,725,098.05

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Solution

The fourth proportional to 245,670,725,098.05, 368,506,087,647.07 and 245,670,725,098.05 is: 368,506,087,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,670,725,098.05 : 368,506,087,647.07 = 245,670,725,098.05 : x
  2. Step 2: Convert to fraction form
    245,670,725,098.05/368,506,087,647.07 = 245,670,725,098.05/x
  3. Step 3: Cross multiply
    245,670,725,098.05x = 368,506,087,647.07 × 245,670,725,098.05
  4. Step 4: Simplify right side
    245,670,725,098.05x = 90,531,157,755,301,248,106,496
  5. Step 5: Solve for x
    x = 90,531,157,755,301,248,106,496/245,670,725,098.05
  6. Step 6: Final answer
    x = 368,506,087,647.07

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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.