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Finding the Fourth Proportional to 507,384,051.60, 761,076,077.40 and 507,384,051.60

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Solution

The fourth proportional to 507,384,051.60, 761,076,077.40 and 507,384,051.60 is: 761,076,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,384,051.60 : 761,076,077.40 = 507,384,051.60 : x
  2. Step 2: Convert to fraction form
    507,384,051.60/761,076,077.40 = 507,384,051.60/x
  3. Step 3: Cross multiply
    507,384,051.60x = 761,076,077.40 × 507,384,051.60
  4. Step 4: Simplify right side
    507,384,051.60x = 386,157,863,727,047,168
  5. Step 5: Solve for x
    x = 386,157,863,727,047,168/507,384,051.60
  6. Step 6: Final answer
    x = 761,076,077.40

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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.