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Finding the Fourth Proportional to 469,733,472,000.30, 704,600,208,000.45 and 469,733,472,000.30

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Solution

The fourth proportional to 469,733,472,000.30, 704,600,208,000.45 and 469,733,472,000.30 is: 704,600,208,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,733,472,000.30 : 704,600,208,000.45 = 469,733,472,000.30 : x
  2. Step 2: Convert to fraction form
    469,733,472,000.30/704,600,208,000.45 = 469,733,472,000.30/x
  3. Step 3: Cross multiply
    469,733,472,000.30x = 704,600,208,000.45 × 469,733,472,000.30
  4. Step 4: Simplify right side
    469,733,472,000.30x = 330,974,302,076,184,886,771,712
  5. Step 5: Solve for x
    x = 330,974,302,076,184,886,771,712/469,733,472,000.30
  6. Step 6: Final answer
    x = 704,600,208,000.45

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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.