Finding the Fourth Proportional to 447,502,941,694.09, 617,668,961,529.60 and 291,461,973,684.03
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Solution
The fourth proportional to 447,502,941,694.09, 617,668,961,529.60 and 291,461,973,684.03 is: 402,292,360,200.50
Step by Step Solution
- Step 1: Write the proportion equation
447,502,941,694.09 : 617,668,961,529.60 = 291,461,973,684.03 : x - Step 2: Convert to fraction form
447,502,941,694.09/617,668,961,529.60 = 291,461,973,684.03/x - Step 3: Cross multiply
447,502,941,694.09x = 617,668,961,529.60 × 291,461,973,684.03 - Step 4: Simplify right side
447,502,941,694.09x = 180,027,014,610,782,418,632,704 - Step 5: Solve for x
x = 180,027,014,610,782,418,632,704/447,502,941,694.09 - Step 6: Final answer
x = 402,292,360,200.50
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.