Finding the Fourth Proportional to 752,402,352,457.98, 1,128,141,630,083.10 and 292,399,904,758.77
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Solution
The fourth proportional to 752,402,352,457.98, 1,128,141,630,083.10 and 292,399,904,758.77 is: 438,420,353,303.09
Step by Step Solution
- Step 1: Write the proportion equation
752,402,352,457.98 : 1,128,141,630,083.10 = 292,399,904,758.77 : x - Step 2: Convert to fraction form
752,402,352,457.98/1,128,141,630,083.10 = 292,399,904,758.77/x - Step 3: Cross multiply
752,402,352,457.98x = 1,128,141,630,083.10 × 292,399,904,758.77 - Step 4: Simplify right side
752,402,352,457.98x = 329,868,505,190,702,012,956,672 - Step 5: Solve for x
x = 329,868,505,190,702,012,956,672/752,402,352,457.98 - Step 6: Final answer
x = 438,420,353,303.09
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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.