Finding the Fourth Proportional to 199,154,587,518.60, 274,834,158,814.16 and 107,703,138,336.99
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Solution
The fourth proportional to 199,154,587,518.60, 274,834,158,814.16 and 107,703,138,336.99 is: 148,630,778,709.67
Step by Step Solution
- Step 1: Write the proportion equation
199,154,587,518.60 : 274,834,158,814.16 = 107,703,138,336.99 : x - Step 2: Convert to fraction form
199,154,587,518.60/274,834,158,814.16 = 107,703,138,336.99/x - Step 3: Cross multiply
199,154,587,518.60x = 274,834,158,814.16 × 107,703,138,336.99 - Step 4: Simplify right side
199,154,587,518.60x = 29,600,501,426,491,754,545,152 - Step 5: Solve for x
x = 29,600,501,426,491,754,545,152/199,154,587,518.60 - Step 6: Final answer
x = 148,630,778,709.67
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.