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Finding the Fourth Proportional to 302,725,363,514.30, 454,088,045,271.45 and 302,725,363,514.30

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Solution

The fourth proportional to 302,725,363,514.30, 454,088,045,271.45 and 302,725,363,514.30 is: 454,088,045,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,725,363,514.30 : 454,088,045,271.45 = 302,725,363,514.30 : x
  2. Step 2: Convert to fraction form
    302,725,363,514.30/454,088,045,271.45 = 302,725,363,514.30/x
  3. Step 3: Cross multiply
    302,725,363,514.30x = 454,088,045,271.45 × 302,725,363,514.30
  4. Step 4: Simplify right side
    302,725,363,514.30x = 137,463,968,572,297,613,148,160
  5. Step 5: Solve for x
    x = 137,463,968,572,297,613,148,160/302,725,363,514.30
  6. Step 6: Final answer
    x = 454,088,045,271.45

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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.