Finding the Fourth Proportional to 706,870,344,214.05, 975,484,054,120.14 and 398,225,406,607.14
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Solution
The fourth proportional to 706,870,344,214.05, 975,484,054,120.14 and 398,225,406,607.14 is: 549,552,739,438.65
Step by Step Solution
- Step 1: Write the proportion equation
706,870,344,214.05 : 975,484,054,120.14 = 398,225,406,607.14 : x - Step 2: Convert to fraction form
706,870,344,214.05/975,484,054,120.14 = 398,225,406,607.14/x - Step 3: Cross multiply
706,870,344,214.05x = 975,484,054,120.14 × 398,225,406,607.14 - Step 4: Simplify right side
706,870,344,214.05x = 388,462,534,090,774,150,119,424 - Step 5: Solve for x
x = 388,462,534,090,774,150,119,424/706,870,344,214.05 - Step 6: Final answer
x = 549,552,739,438.65
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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.