Finding the Fourth Proportional to 604,417,406.60, 906,178,212.30 and 409,843,224.20
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Solution
The fourth proportional to 604,417,406.60, 906,178,212.30 and 409,843,224.20 is: 614,461,125.99
Step by Step Solution
- Step 1: Write the proportion equation
604,417,406.60 : 906,178,212.30 = 409,843,224.20 : x - Step 2: Convert to fraction form
604,417,406.60/906,178,212.30 = 409,843,224.20/x - Step 3: Cross multiply
604,417,406.60x = 906,178,212.30 × 409,843,224.20 - Step 4: Simplify right side
604,417,406.60x = 371,391,000,228,824,064 - Step 5: Solve for x
x = 371,391,000,228,824,064/604,417,406.60 - Step 6: Final answer
x = 614,461,125.99
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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.