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Finding the Fourth Proportional to 448,514,714.40, 672,772,071.60 and 448,514,714.40

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Solution

The fourth proportional to 448,514,714.40, 672,772,071.60 and 448,514,714.40 is: 672,772,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,514,714.40 : 672,772,071.60 = 448,514,714.40 : x
  2. Step 2: Convert to fraction form
    448,514,714.40/672,772,071.60 = 448,514,714.40/x
  3. Step 3: Cross multiply
    448,514,714.40x = 672,772,071.60 × 448,514,714.40
  4. Step 4: Simplify right side
    448,514,714.40x = 301,748,173,549,970,368
  5. Step 5: Solve for x
    x = 301,748,173,549,970,368/448,514,714.40
  6. Step 6: Final answer
    x = 672,772,071.60

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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.